Question

question 6 of 10 which of the following are solutions to the equation below? check all that apply. 5x² - 2x + 16 = 4x² + 6x a -3 b. 4 c. 18 d. 6 e -6 f. -4

Explanation:

Step1: Rearrange the equation

First, move all terms to one - side of the equation:
\[

$$\begin{align*} 5x^{2}-2x + 16-(4x^{2}+6x)&=0\\ 5x^{2}-2x + 16 - 4x^{2}-6x&=0\\ x^{2}-8x + 16&=0 \end{align*}$$

\]

Step2: Factor the quadratic equation

The quadratic equation \(x^{2}-8x + 16\) is a perfect - square trinomial, which can be factored as \((x - 4)^{2}=0\).

Step3: Solve for x

Set \(x - 4=0\), then \(x = 4\).

Answer:

B. 4