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

Problem

9*x2−16=0

Solution

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

a=9

b=0

c=−16

2. Substitute these values into the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(9)*(−16)))/(2*(9))

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

x=(±√(,0+576))/18

x=(±√(,576))/18

4. Evaluate the square root.

√(,576)=24

x=(±24)/18

5. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, 6.

x=±4/3

Final Answer

x=±4/3

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