Question

Write a quadratic equation in standard form that has the following solutions: x = 4/3 and x = - 2/5

Answer 1

15x^2 - 14x - 8 = 0.

Explanation:

(x - 4/3)(x + 2/5) = 0

Converted to integer values by multiplying the first bracket by 3 and the second by 5:

(3x - 4)(5x + 2) = 0

Expanding the brackets:

15x^2 + 6x - 20x - 8 = 0

15x^2 - 14x - 8 = 0.