Solve Using the Quadratic Formula x^2+4x=12

Problem

x2+4*x=12

Solution

1. Rewrite the equation in standard form a*x2+b*x+c=0 by subtracting 12 from both sides.

x2+4*x−12=0

2. Identify the coefficients a b and c for the quadratic formula.

a=1

b=4

c=−12

3. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

4. Substitute the values of a b and c into the formula.

x=(−4±√(,4−4*(1)*(−12)))/(2*(1))

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

x=(−4±√(,16+48))/2

x=(−4±√(,64))/2

6. Evaluate the square root.

x=(−4±8)/2

7. Solve for both possible values of x

x=(−4+8)/2=4/2=2

x=(−4−8)/2=(−12)/2=−6

Final Answer

x=2,−6

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