[Music] Hyman Akiyama in this video entitled hi Nathan Inaba and quadratic equation by an open 18 since auditing a quadratic equation into standard form ax squared plus BX plus C equals 0 also a identify metonym a B and C value given an quadratic equation so HoloNet Maputo my melody tone mathematical equations so Ungava Natan let's try to identify the linear equations si sagina 10 all right so Marinol on Tom Lehman nananana Tutera Aetna lipid Sibylla ante natal nothing linear equation now I know burrito manga nitiram mathematical equations so a to animate or ante natal igniting quadratic equation pandoba not in Malayalam and quadratic equation a quadratic equation in one variable is a mathematical sentence of the grid two packs in a beam adding degree to second degree dogmatic eaten attend so packing dean athenian ajita eve exhibition bagua Zhang to R squared or exponent nough to ibig sabihin that is only a linear equation now since marin tae-young 2 which is on the second degree then we can now consider this as quadratic equation now always remember that a quadratic equation can be written wedyn attention is so let into standard form a new knob on standard form we have a x squared plus BX plus C equals zero where a B and C are real numbers and a should not be equal to zero but and an attendee not in a dapat indicia mug equals zero or else McGee linear equation lemon Ito no in standard form it should be a positive real number that and an opinion all right let's have the parts of quadratic equation what is a x squared this is our quadratic term so we have three terms in quadratic equation now what is what do we call this confirm bx is the linear term while c is our constant term so in quadratic equation in standard form ax squared is the quadratic term BX is the linear term and C is your constant term equals zero okay so let's have an example let's try to identify a B and C given the following quadratic equation so I have here x squared minus 5x plus 3 is equal to 0 now I knew naba an a value B value and C value of the given quadratic equation so a is equal to 1 since we all know that variable is only a little the numerical coefficient of the variable is always 1 next me is equal to negative 5 so after you NASA get nap and then C is equal to 3 so Yan Lang para and PACU Hannam e B and C you have to arrange it first into standard form parama who cannot enum value non a B and C next for M squared plus 4 M plus 1 is equal to 0 e is equal to 4 B is equal to 4 C is equal to 1 next in this give it give an example 9 R squared minus 25 we do not have the B value so what will be the B value papa velasca doing some idiotic equation so our a will be 9 me will become 0 and then C is equal to negative 25 next a is equal to 1/2 B is equal to 3 [Music] okay didn't a man so last example nothing Puma Poppins in your wallet and constant term so therefore our C will be zero next how are we going to write a quadratic equation into standard form so remember our standard form must be written in a x squared plus BX plus C equals zero okay given the example x squared plus x equals four so a lilypad not in C for for us to have the value of C and equated to 0 so we will have now x squared plus X aleady but not in C for so that will become negative 4 is equal to 0 so we can now get the value of a B and C is equal to 1 B is equal to 1 C is equal to negative 4 another example I have here 7 x squared is equal to 1/3 X so again let us write this quadratic equation into standard form so we will have 7 x squared minus 1/3 X is equal to 0 so even if at not in C one-third X and then equate to 0 one-third X will become negative so we will have now the value of a which is 7 B is equal to negative 1/3 and C is equal to 0 since we do not have the value of Conda constant term next we have here 6x squared is equal to 9 so let us arrange it into standard form leap at 99 so Maggie 6x squared minus 9 remember NAFA pugna really pata your non constant change the sign Col du motto motto motto wishes are equal symbol so therefore we will have now is equal to 6 me is equal to 0 since we do not have the linear term and then C is equal to negative 9 next I have here negative eight x squared plus X is equal to six so first leap at 96 that will become negative eight x squared plus X minus 6 gasps Emma giggling negativeness is six and then equate to zero now remember a guy anissina bacopa nina non-standard form your age should be a positive real number so since um a methine veto a negative where the motion a multiplied by negative one or whether in among a divide moshe by negative one so I'm Manya real and meet or mug to change long tire lahat non-science so you negative eight more Maggie Ginn positive 8x squared young positive x Maggie minus X u minus six Maggie Dean plus 6 and then equals to 0 so we will now have the value of a which is 8 B is equal to negative 1 and C is equal to 6 neck's so it oh haha young example so let's have an twist so I have here say X multiplied by the quantity of X minus 2 is equal to 10 so we will have 3 x squared minus 1 again sorry x squared multiplying I can say 3 x times X so when we are multiplying the variable we are adding its exponent so since Marron time X and the bias at Sal all McGuigan to nasha so squared so 3 times 1 that is 3 X and X that is x squared next sign dominating minus 6 X 3 times negative 2 that is negative 6 and since we only have X 1 X or you will just copy X and then bring down equals 10 mix a lilypad Manhattan c10 can see that is our constant term for us to write the given quadratic equation into a standard form so we will now have 3x squared minus 6x minus 10 remember it should be negative is equal to 0 so we can now get a is equal to 3 B is equal to negative 6 and C is equal to negative 10 next I have here the quantity of 2x plus 5 and X minus 1 so Marin time the LaJuan by a binomial so panin at insa is a soul so first multiply 2x and X so that will become 2x squared next multiply 2x and negative 1 or minus 1 that will become negative 2x and then 5 times X that is 5x and then 5 times negative 1 that will become negative 5 equals 6 so we will now have 2x squared plus 3x pocket casts a mere entire negative 2 and positive 5 so McGee positive 3x so Buffett positive 3 because 5 is bigger than at the absolute value of 5 is bigger than the absolute value of negative 2 and then bring down negative 5 bring down negative 6 next so evenly but not in C negative 6 so McGee 2x squared plus 3x minus 5 plus 6 remember negative share soap agni-v but not in McGee positive 6 is equal to 0 now since Marant IM dalja want constant term we will combine this two so McAfee anti-human and 2x squared plus 3x plus 1 equals 0 so we will now have a is equal to 2 B is equal to 3 and C is equal to 1 always remember that the standard form must be a x squared plus BX plus C equals 0 okay so boo ha nothing's a gotten it all let's think about this consider 3x squared minus X plus 5 is equal to 0 what is a in the equation so since nifer arranged nasha into standard form Adelina natima fajita and value non e and that is 3 if a is equal to 0 well the equations still be quadratic no a guy yeah - in a bhikkhu pnina if a will become 0 then the value of it will well i Maggie equals ax 0 so that will become linear equation neck next what is B in the equation so B is equal to a negative 1 if B will if B is equal to 0 well the equation still be quadratic yes we can still have a and C what is C in the equation that is 5 if C is equal to 0 well the equation still be quadratic yes always remember the quadratic equation must have a second degree exponent so hi Edna and be at sinatun among equals a zero that is still awkward thank you for watching this video I hope you learned something don't forget to Like subscribe and hit the bell button so our Walmart channel just keep on watching