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

Question

Mathematics

Logan Christian

14 October, 09:16

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

+2

Answers (1)

Know the Answer?

Virginia Wilkinson · Answer 1

81x^2 - 27x - 40 = 0

Step-by-step 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

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

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