Answer :
To solve the equation [tex]\(3x^2 = 27\)[/tex], follow these steps:
1. Simplify the Equation:
Begin by dividing both sides of the equation by 3 to simplify it:
[tex]\[
x^2 = \frac{27}{3}
\][/tex]
This simplifies to:
[tex]\[
x^2 = 9
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To find the values of [tex]\(x\)[/tex], take the square root of both sides of the equation. Remember that taking the square root will yield both positive and negative solutions:
[tex]\[
x = \pm \sqrt{9}
\][/tex]
3. Calculate the Square Roots:
The square root of 9 is 3. Thus, the possible solutions for [tex]\(x\)[/tex] are:
[tex]\[
x = 3 \quad \text{and} \quad x = -3
\][/tex]
Therefore, the solutions to the equation [tex]\(3x^2 = 27\)[/tex] are [tex]\(x = 3\)[/tex] and [tex]\(x = -3\)[/tex].
1. Simplify the Equation:
Begin by dividing both sides of the equation by 3 to simplify it:
[tex]\[
x^2 = \frac{27}{3}
\][/tex]
This simplifies to:
[tex]\[
x^2 = 9
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To find the values of [tex]\(x\)[/tex], take the square root of both sides of the equation. Remember that taking the square root will yield both positive and negative solutions:
[tex]\[
x = \pm \sqrt{9}
\][/tex]
3. Calculate the Square Roots:
The square root of 9 is 3. Thus, the possible solutions for [tex]\(x\)[/tex] are:
[tex]\[
x = 3 \quad \text{and} \quad x = -3
\][/tex]
Therefore, the solutions to the equation [tex]\(3x^2 = 27\)[/tex] are [tex]\(x = 3\)[/tex] and [tex]\(x = -3\)[/tex].
