Solve for xx. Express your answer as an integer or integers or in simplest radical form.8, x, squared, minus, 5, equals, 678x 2 −5=67

Question

Given the equation:

$8x^2 - 5 = 67$

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Sure, let's solve the equation step by step.

Given: $8x^2 - 5 = 67$

Step 1: Add 5 to both sides of the equation to isolate the term with $x$ on one side. $8x^2 - 5 + 5 = 67 + 5$ $8x^2 = 72$

Step 2: Divide both sides by 8 to solve for $x^2$ . $\frac{8x^2}{8} = \frac{72}{8}$ $x^2 = 9$

Step 3: Take the square root of both sides to solve for $x$ . $x = \pm \sqrt{9}$ $x = \pm 3$

So, the solutions for $x$ are: $x = 3$ $x = -3$

This problem has been solved

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