Question

the solution to (2x^2 - 11 = 87) is

• (7) or (-7)
• (2 + 2i) or (2 - 2i)
• (12) or (-2)

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Isolate the quadratic term

$$ 2x^2 - 11 = 87 $$

$$ 2x^2 = 87 + 11 $$

$$ 2x^2 = 98 $$

Step 2: Divide by the coefficient

$$ x^2 = \frac{98}{2} $$

$$ x^2 = 49 $$

Step 3: Solve for x

$$ x = \pm\sqrt{49} $$

$$ x = 7 \text{ or } -7 $$

Answer:

7 or -7