High School

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Solve for x.

[tex]3x^2 = 27[/tex]

Answer :

Let's solve the equation [tex]\(3x^2 = 27\)[/tex] step-by-step:

1. Divide Both Sides by 3:
Start by dividing both sides of the equation by 3 to isolate [tex]\(x^2\)[/tex]. This will give us:
[tex]\[
x^2 = \frac{27}{3}
\][/tex]
Simplifying the right side:
[tex]\[
x^2 = 9
\][/tex]

2. Solve for x:
To solve for [tex]\(x\)[/tex], take the square root of both sides of the equation. Remember that squaring removes any sign, so there are two possible solutions:
[tex]\[
x = \sqrt{9}
\][/tex]
[tex]\[
x = 3 \quad \text{or} \quad x = -3
\][/tex]

The solutions to the equation [tex]\(3x^2 = 27\)[/tex] are [tex]\(x = 3\)[/tex] and [tex]\(x = -3\)[/tex].

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