Final answer:
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:
- Subtract 10 from both sides of the equation: 2x² = 50
- Divide both sides by 2: x² = 25
- Take the square root of both sides: x = ±√25
- Simplify the square root: x = ±5
Therefore, the solutions to the equation are x = 5 and x = -5.