How do I solve this quadratic function by finding square roots 2x²=200 ?
Set it to 0
2x² - 200 = 0
Factor out the 2
2(x² - 100) = 0
Use difference of squares
2(x + 10)(x - 10) = 0
Solve for x
x = -/+ 10
Set the equation to 0 and solve for x.
2x^2 = 200
Divide both sides by 2.
x^2 = 200/2
x^2 = 100
Take square root of both sides.
x = positive 10 and negative 10
Always a positive and negative answer in terms of square roots.
Done!
To solve the quadratic equation 2x² = 200 using square roots, follow these steps:
Step 1: Divide both sides of the equation by 2 to isolate the x² term.
2x² / 2 = 200 / 2
x² = 100
Step 2: Take the square root of both sides of the equation.
√(x²) = √100
x = ±√100
Step 3: Simplify the square root of 100.
x = ±10
So, the solutions to the quadratic equation 2x² = 200 are x = -10 and x = 10.
To solve the quadratic function 2x² = 200 by finding square roots, follow the steps below:
Step 1: Rewrite the equation in the standard form by moving all the terms to one side:
2x² - 200 = 0
Step 2: Divide the entire equation by the coefficient of x² to make the coefficient 1:
x² - 100 = 0
Step 3: Take the square root of both sides of the equation to eliminate the exponent:
√(x² - 100) = √0
Step 4: Simplify the square root on the left side of the equation:
√(x² - 100) = 0
Step 5: Split the square root into two separate equations and solve each equation separately:
x - √100 = 0 and x + √100 = 0
Step 6: Simplify each equation:
x - 10 = 0 and x + 10 = 0
Step 7: Solve for x in each equation:
For the first equation:
x - 10 = 0
x = 10
For the second equation:
x + 10 = 0
x = -10
So, the solutions to the equation 2x² = 200 by finding square roots are x = 10 and x = -10.