Question

question 6 (4 points) solve. upload your handwritten work displaying how you solved to receive credit. $5x^2 + 60 = 0$

Explanation:

Step1: Isolate the $x^2$ term

Subtract 60 from both sides:
$5x^2 = -60$

Step2: Solve for $x^2$

Divide both sides by 5:
$x^2 = \frac{-60}{5} = -12$

Step3: Take square roots

Use the imaginary unit $i = \sqrt{-1}$:
$x = \pm\sqrt{-12} = \pm\sqrt{4 \times 3 \times -1} = \pm2i\sqrt{3}$

Answer:

$x = 2i\sqrt{3}$ and $x = -2i\sqrt{3}$