How do I solve this quadratic function by finding square roots 2x²=200 ?
2x² - 200 = 0
2(x² - 100) = 0
2(x + 10)(x - 10) = 0
x = -/+ 10
To solve the quadratic equation 2x² = 200 by finding square roots, follow these steps:
Step 1: Isolate the variable term
To start, divide both sides of the equation by 2 to isolate the variable term:
2x² / 2 = 200 / 2
x² = 100
Step 2: Apply square roots to both sides
To find the square root of both sides, take the square root of the right side of the equation:
√(x²) = √100
x = ±√100
Step 3: Simplify the square roots
Simplifying the square roots gives:
x = ±10
Therefore, the solutions to the quadratic equation 2x² = 200 by finding square roots are x = 10 and x = -10.
You can double-check the answer by substituting these values back into the original equation to ensure they satisfy it.