Solve Using the Quadratic Formula 3x^2-27=0

Problem

3*x2−27=0

Solution

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

a=3

b=0

c=−27

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

x=(−0±√(,0−4*(3)*(−27)))/(2*(3))

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

x=(±√(,0+324))/6

x=(±√(,324))/6

4. Evaluate the square root of 324

x=(±18)/6

5. Solve for both possible values of x

x=18/6=3

x=(−18)/6=−3

Final Answer

x=3,−3

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