Solve Using the Quadratic Formula x^2-8=0

Problem

x2−8=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=1

b=0

c=−8

2. Apply the quadratic formula which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(1)*(−8)))/(2*(1))

3. Simplify the expression inside the square root (the discriminant).

x=(±√(,32))/2

4. Simplify the radical by factoring out the largest perfect square.

x=(±√(,16⋅2))/2

x=(±4√(,2))/2

5. Divide to find the final values of x

x=±2√(,2)

Final Answer

x=±2√(,2)

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