Question

if the roots of the quadratic equation are 2 and -4 write down the equation in the form x ^ 2 + bx+ c=0​

Answer 1

Answer:

roots are 2,-4

sum of roots=α+β=-b/a

2+(-4)=-b/a

-2=-b/a

product of roots=αβ=c/a

2(-4)=c/a

-8=c/a

quadratic equation=$x^{2}$-2x-8=0

hope it helps

Answer 2

Answer:

since 2 and -4 are two roots of the quadratic equation

Therefore, (x-2) and (x+4) are two factors of the quadratic equation

Hence quadratic eq. is given by ;

(x-2) (x+4) =0

That implies,

x^2 + 2x -8 = 0