Solve Using the Quadratic Formula 2x^2-32=0

Problem

2*x2−32=0

Solution

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

a=2

b=0

c=−32

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

x=(−0±√(,0−4*(2)*(−32)))/(2*(2))

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

x=(±√(,256))/4

4. Evaluate the square root.

x=(±16)/4

5. Solve for the two possible values of x

x=4

x=−4

Final Answer

x=±4

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