Question

Solve for x. Write both solutions, separated by
a comma.
3x² + 7x-6=0

Answer 1

- 3, 2/3

Explanation:

Given:

3·x² + 7·x - 6 = 0

General Equation:

a·x² + b·x + c = 0

a = 3;

b = 7;

c = - 6.

Discriminant:

D = b² - 4·a·c = 7² - 4·3·(-6) = 49 + 72 = 121

√ (D) = √ (121) = 11

Solution:

x₁₂ = ( - b ± √(D) ) / (2·a);

x₁ = ( - 7 - 11 ) / (2·3) = ( - 18) / 6 = -3

x₂ = ( - 7 + 11 ) / (2·3) = 4 / 6 = 2 / 3