Solve Using the Quadratic Formula 4x^2-9=0

Problem

4*x2−9=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 Here, a=4 b=0 and c=−9

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

3. Substitute the values into the formula:

x=(−0±√(,0−4*(4)*(−9)))/(2*(4))

4. Simplify the expression inside the square root (the discriminant):

x=(±√(,144))/8

5. Evaluate the square root and simplify the fraction:

x=(±12)/8

6. Reduce the fraction to its simplest form:

x=±3/2

Final Answer

x=±3/2

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