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

Problem

x2−4*x=12

Solution

1. Rearrange the equation into 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. Apply the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a) by substituting the identified values.

x=(−(−4)±√(,(−4)2−4*(1)*(−12)))/(2*(1))

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

x=(4±√(,16+48))/2

x=(4±√(,64))/2

5. Evaluate the square root and solve for both possible values of x

x=(4±8)/2

6. Calculate the first solution using the plus sign.

x=(4+8)/2=12/2=6

7. Calculate the second solution using the minus sign.

x=(4−8)/2=(−4)/2=−2

Final Answer

x=6,−2

Want more problems? Check here!