Solve Using the Quadratic Formula 2m^2+2m-12=0

Problem

2*m2+2*m−12=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*m2+b*m+c=0

a=2

b=2

c=−12

2. State the quadratic formula used to find the roots of the equation.

m=(−b±√(,b2−4*a*c))/(2*a)

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

m=(−(2)±√(,(2)2−4*(2)*(−12)))/(2*(2))

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

m=(−2±√(,4+96))/4

m=(−2±√(,100))/4

5. Evaluate the square root.

m=(−2±10)/4

6. Solve for the two possible values of m by calculating both the addition and subtraction cases.

(m_1)=(−2+10)/4=8/4=2

(m_2)=(−2−10)/4=(−12)/4=−3

Final Answer

m=2,−3

Want more problems? Check here!