solve each of the following equations by the square root method and show your work
4x²-20=0
Your school subject is Math -- not Mason.
4x^2=20
x^2=5
x= either the positive or negative square root of 5.
To solve the equation 4x²-20=0 using the square root method, we can isolate the x² term and then take the square root of both sides of the equation.
Step 1: Isolate the x² term
4x² - 20 = 0
Step 2: Move the constant term to the right side
4x² = 20
Step 3: Divide both sides by the coefficient of x²
x² = 20/4
Simplifying, we get:
x² = 5
Step 4: Take the square root of both sides
√(x²) = ±√5
This gives us two options:
x = ±√5
Hence, the solutions to the equation 4x²-20=0 using the square root method are x = √5 and x = -√5.