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solve. \\-3x^2 + 75 = 0\\ \\(x = \\) (simplify your answer. type each s…

Question

solve.

\\-3x^2 + 75 = 0\\

\\(x = \\)
(simplify your answer. type each solution only once. use a comma to separate answers as needed.)

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Isolate the quadratic term

$$ -3x^2 + 75 = 0 $$
$$ -3x^2 = -75 $$

Step 2: Divide by the coefficient

$$ x^2 = \frac{-75}{-3} $$
$$ x^2 = 25 $$

Step 3: Take the square root of both sides

$$ x = \pm\sqrt{25} $$
$$ x = 5, -5 $$

Answer:

\(5, -5\)