Answer:
C. ±5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Equality Properties
- Solving Quadratics
- Multiple Roots
Step-by-step explanation:
Step 1: Define
2x² = 50
Step 2: Solve for x
- Divide 2 on both sides: x² = 25
- Square root both sides: x = ±5
Step 3: Check
Plug in x into the original equation to verify it's a solution.
x = 5
- Substitute in x: 2(5)² = 50
- Exponents: 2(25) = 50
- Multiply: 50 = 50
Here we see that 50 does indeed equal 50.
∴ x = 5 is a solution to the equation.
x = -5
- Substitute in x: 2(-5)² = 50
- Exponents: 2(25) = 50
- Multiply: 50 = 50
Here we see that 50 does indeed equal 50.
∴ x = -5 is a solution to the equation.
