Solve Using the Quadratic Formula 4x^2-36=0

Problem

4*x2−36=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 where a=4 b=0 and c=−36

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*(4)*(−36)))/(2*(4))

4. Simplify the radicand by calculating the product:

x=(±√(,576))/8

5. Evaluate the square root of 576 which is 24

x=(±24)/8

6. Solve for both possible values of x by dividing by 8

x=3

x=−3

Final Answer

x=±3

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