Question

Solve the equation 2x² + 7x + 14 = x + 3 for x:

a) x = 2
b) x = -2
c) x = 3
d) x = -3

Answer 1

The solutions for x are approximately x = -1.19 and x = -4.81. Therefore, none of the given options (a), b), c), or d)) are solutions to the equation.

Step-by-step explanation:

To solve the equation 2x² + 7x + 14 = x + 3 for x:

1. Move all terms to one side of the equation, so it becomes 2x² + 6x + 11 = 0
2. Use the quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), with a = 2, b = 6, and c = 11
3. Substitute the values into the formula and simplify to find the solutions for x

The solutions for x are approximately x = -1.19 and x = -4.81.

Therefore, none of the given options (a), b), c), or d)) are solutions to the equation.