Question

what is the first step in solving the quadratic equation -5x²+8=133?
○ taking the square root of both sides of the equation
○ subtracting 8 from both sides of the equation
○ squaring both sides of the equation
○ adding 8 to both sides of the equation

Explanation:

To solve the quadratic equation \(-5x^{2}+8 = 133\), we follow the standard steps for solving quadratic equations (isolate the quadratic term first). The first step is to get the term with \(x^{2}\) alone. So we need to eliminate the constant term on the left - hand side. We do this by subtracting 8 from both sides of the equation. This will give us \(-5x^{2}=133 - 8\), and then we can proceed to solve for \(x^{2}\) and then \(x\).

Answer:

B. subtracting 8 from both sides of the equation