Solve Using the Quadratic Formula x^2-9=0

Problem

x2−9=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=0 and c=−9

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

3. Substitute the values into the expression:

x=(−0±√(,0−4*(1)*(−9)))/(2*(1))

4. Simplify the radicand and the denominator:

x=(±√(,36))/2

5. Evaluate the square root:

x=(±6)/2

6. Solve for both possible values of x

x=3

x=−3

Final Answer

x=±3

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