Question

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard​ form, ax^2+bx+c=0, where​ a, b, and c are integers​ (no fractions).

Solutions: -5/9, 8/9

Answer 1

81x^2 -27x -40 = 0

Explanation:

When a/b is a root of the equation, one factor of the equation might be ...

(bx -a)

Hence the factored form of the equation you seek might be ...

(9x +5)(9x -8) = 0

and the standard form will be that product multiplied out:

81x^2 -27x -40 = 0