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What is the first step in solving the quadratic equation [tex]-5x^2 + 8 = 133[/tex]?

A. Taking the square root of both sides of the equation
B. Subtracting 8 from both sides of the equation
C. Squaring both sides of the equation
D. Adding 8 to both sides of the equation

Sagot :

GinnyAnswer
To solve the quadratic equation [tex]\(-5x^2 + 8 = 133\)[/tex], we need to isolate the term involving [tex]\(x^2\)[/tex].

Here's a step-by-step solution:

1. The first step is to move the constant term on the left side of the equation to the right side. This is achieved by subtracting 8 from both sides of the equation:

[tex]\[ -5x^2 + 8 - 8 = 133 - 8 \][/tex]

Simplifying both sides, we get:

[tex]\[ -5x^2 = 125 \][/tex]

So, the first step in solving the quadratic equation [tex]\( -5x^2 + 8 = 133 \)[/tex] is subtracting 8 from both sides of the equation.
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