Question

Find the quadratic equations whose solution set is {5,-4}
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Answer 1

Answer:

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Find the quadratic equation whose roots are at x = 3 and x = 5.

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Expert Answers info

HALA718 eNotes educator | CERTIFIED EDUCATOR

We need to determine the quadratic equation whose roots are 3 and 5.

There are two ways to find the equation.

We will use the factors method to determine the function.

We find the factors of the quadratic function.

Let f(x) be the function where 3 and 5 are the roots.

==> Then, the factors are (x-3) and (x-5)

==> f(x) = (x-3)(x-5)

We will open the brackets.

==> f(x) = x^2 -3x -5x + 15

==> f(x) = x^2 - 8x + 15

Answer 2

set solution is {5,-4}

then x=5 & x= -4

x-5=0&x+4=0

multiple these two equation

(x-5)(x+4)

= x^2-5x+4x-20

=x^2-x-20

this is required quadratic equation