At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 :

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.