Answer:
The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is
(2x - 3)(x + 4) = 0
Explanation:
The roots of an equation is values of x when y is equal to zero
∵ y = 2x² + 5x - 12 is a quadratic equation
∴ The roots of the equations are values of x when y = 0
∵ The factorization of 2x² + 5x - 12 is (2x - 3)(x + 4)
∵ 2x² + 5x - 12 = (2x - 3)(x + 4)
∵ 2x² + 5x - 12 = 0
- Equate the right hand side above by 0
∴ (2x - 3)(x + 4) = 0
- Now equate each bracket by 0 to find the values of x
∵ 2x - 3 = 0
- Add 3 to both sides
∴ 2x = 3
- Divide both sides by 2
∴ x = 1.5
∵ x + 4 = 0
- Subtract 4 from both sides
∴ x = -4
∴ The roots of the equations are -4 and 1.5
The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is
(2x - 3)(x + 4) = 0