Question

find the quadratic equation whose roots are 4 and-4.​

Answer 1

Answer:

As when we know roots of a quadratic equation, we simply do the below thing

For eg. - when the roots of an equation is a and b. Then we simply write (x-a)(x-b)

and then multiply the whole bracket my simply multiplying all the elements with the another element. As if the roots are +a and -b, So we write (x-a)(x+b). So the sign of the roots are opposite.

It can also be explained as when we put the roots in the equation, we are simply putting different values of x in the equation. As the roots are a and b

we take x=a⇒(x-a)=0 and x=b⇒(x-b)=0

and just multiply these brackets and you will get the equation with he roots a and b

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

The roots of the quadratic equation are −4 and 6.

Hence, x+4 and x−6 are its factors.

⇒(x+4)(x−6)=0

⇒x

2

−2x−24=0.