Solve Using the Quadratic Formula x^2-64=0

Problem

x2−64=0

Solution

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

a=1

b=0

c=−64

2. Apply the formula by substituting the values into the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(1)*(−64)))/(2*(1))

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

x=(±√(,256))/2

4. Evaluate the square root of 256

x=(±16)/2

5. Solve for both possible values of x

x=8,−8

Final Answer

x=±8

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