To solve the quadratic equation using square roots, follow these steps:
Given the equation:
\[ 3x^2 - 27 = 0 \]
1. Isolate the \( x^2 \) term:
\[ 3x^2 = 27 \]
2. Divide both sides of the equation by 3:
\[ x^2 = 9 \]
3. Take the square root of both sides:
\[ x = \pm \sqrt{9} \]
4. Simplify the square root:
\[ x = \pm 3 \]
So, the solutions to the equation \( 3x^2 - 27 = 0 \) are:
\[ x = 3 \text{ or } x = -3 \]
Therefore, the correct answer is:
\[ \pm 3 \]
3.
Solve the equation using square roots.
3x2 – 27 = 0
±3
±9
no real number solutions
3
1 answer
1 answer