Solve Using the Quadratic Formula x^2-100=0

Problem

x2−100=0

Solution

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

a=1

b=0

c=−100

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

x=(−0±√(,0−4*(1)*(−100)))/(2*(1))

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

x=(±√(,400))/2

4. Evaluate the square root of 400.

x=(±20)/2

5. Divide to find the two possible values for x

x=10

x=−10

Final Answer

x=10,−10

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