Question

Solve the equation for x. 2x²+10=60

Answer 1

To solve the equation 2x² + 10 = 60 for x, subtract 10 from both sides, divide by 2, take the square root of both sides, and simplify the square root.

Step-by-step explanation:

To solve the equation 2x² + 10 = 60 for x, we need to isolate x on one side of the equation. Here is the step-by-step process:

1. Subtract 10 from both sides of the equation: 2x² = 50
2. Divide both sides by 2: x² = 25
3. Take the square root of both sides: x = ±√25
4. Simplify the square root: x = ±5

Therefore, the solutions to the equation are x = 5 and x = -5.