Solve Using the Quadratic Formula x^2-12=0

Problem

x2−12=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 which are a=1 b=0 and c=−12

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*(1)*(−12)))/(2*(1))

4. Simplify the radicand and the denominator:

x=(±√(,48))/2

5. Simplify the radical by factoring out the largest perfect square, which is 16

x=(±√(,16⋅3))/2

x=(±4√(,3))/2

6. Divide to find the final values of x

x=±2√(,3)

Final Answer

x=±2√(,3)

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