Solve Using the Quadratic Formula x^2-144=0

Problem

x2−144=0

Solution

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

a=1

b=0

c=−144

2. Substitute these values into the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(1)*(−144)))/(2*(1))

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

x=(±√(,576))/2

4. Evaluate the square root of 576

x=(±24)/2

5. Solve for both possible values of x

x=12

x=−12

Final Answer

x=±12

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