Final answer:
To solve the equation 0 = 4x² + 12x + 9, use the quadratic formula by substituting a = 4, b = 12, and c = 9. The correct substitution is option a. -1.5.
Step-by-step explanation:
To solve the equation 0 = 4x² + 12x + 9, we can use the quadratic formula, which is: x = (-b ± √(b²-4ac)) / (2a). In this equation, a = 4, b = 12, and c = 9. Plugging these values into the quadratic formula, we get: x = (-12 ± √(12² - 4(4)(9))) / (2(4)). Simplifying the expression under the square root gives: x = (-12 ± √(144 - 144)) / (8).
Since the expression inside the square root is 0, we know that the solutions to the equation are: x = -12/8 = -1.5 Therefore, the correct substitution for the quadratic formula is option a. -1.5. The quadratic equation 0 = 4x²+12x+9 is solved using the quadratic formula, resulting in a single solution x = -1.5.