Solve Using the Quadratic Formula 16x^2-9=0

Problem

16*x2−9=0

Solution

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

a=16

b=0

c=−9

2. Substitute the values into the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(16)*(−9)))/(2*(16))

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

x=(±√(,576))/32

4. Evaluate the square root.

x=(±24)/32

5. Reduce the fractions to find the two solutions.

x=24/32⇒x=3/4

x=−24/32⇒x=−3/4

Final Answer

x=±3/4

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