Solve by using the even-root property.
x^2 = 20
x = ±√20
= ±2√5
To solve the equation x^2 = 20 using the even-root property, we need to isolate x and then take the square root of both sides of the equation.
First, let's isolate x by subtracting 20 from both sides:
x^2 - 20 = 0
Now, we'll use the even-root property, which states that if x^2 = a, then x = +/- sqrt(a).
Taking the square root of both sides of the equation gives us:
sqrt(x^2 - 20) = sqrt(0)
Simplifying the right side gives:
sqrt(x^2 - 20) = 0
Using the even-root property, we can set up two separate equations:
x = sqrt(20) or x = -sqrt(20)
Calculating the square root of 20 gives us:
x = 4.472 or x = -4.472
Hence, the solutions to the equation x^2 = 20 using the even-root property are x = 4.472 and x = -4.472.