Question

solve for y.
3y² - 75 = 0
write your answers as integers or as proper or improper fractions in simplest form
y = or y =

Explanation:

Step1: Isolate the \( y^2 \) term

Add 75 to both sides of the equation \( 3y^2 - 75 = 0 \):
\( 3y^2 = 75 \)
Then divide both sides by 3:
\( y^2=\frac{75}{3}=25 \)

Step2: Solve for \( y \)

Take the square root of both sides. Remember that when taking the square root of a positive number, we get two solutions: one positive and one negative.
\( y = \pm\sqrt{25} \)
Since \( \sqrt{25}=5 \), we have \( y = 5 \) or \( y=-5 \)

Answer:

\( y = 5 \) or \( y = -5 \)