Question

question 8 of 10, step 1 of 1 solve the following quadratic equation by completing the square. 2x² + 16x + 4 = 0 answer x = or

Explanation:

Step1: Isolate constant term

$2x^2 + 16x = -4$

Step2: Divide by leading coefficient

$x^2 + 8x = -2$

Step3: Complete the square

$x^2 + 8x + 16 = -2 + 16$
$(x + 4)^2 = 14$

Step4: Take square roots

$x + 4 = \pm\sqrt{14}$

Step5: Solve for x

$x = -4 \pm\sqrt{14}$

Answer:

$x = -4 + \sqrt{14}$ or $x = -4 - \sqrt{14}$