Question

Prove that y = 3 is a solution to y³ + 3y − 36 = 0. Prove that √325 = 5√13

Answer 1

To prove that y = 3 is a solution, substitute y = 3 into the equation and show that it satisfies the equation. To prove that √325 = 5√13, simplify both sides of the equation.

Step-by-step explanation:

To prove that y = 3 is a solution to the equation y³ + 3y - 36 = 0, we substitute y = 3 into the equation:

(3)³ + 3(3) - 36 = 27 + 9 - 36 = 0

Since the equation is satisfied when y = 3, we can conclude that y = 3 is a solution.

To prove that √325 = 5√13, we can simplify both sides of the equation:

√325 = √(25 × 13) = √25 × √13 = 5√13