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

Problem

9*x2−4=0

Solution

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

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*(9)*(−4)))/(2*(9))

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

x=(±√(,144))/18

5. Evaluate the square root:

x=(±12)/18

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

x=±2/3

Final Answer

x=±2/3

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