Solve Using the Quadratic Formula 2x^2+5x-12=0

Problem

2*x2+5*x−12=0

Solution

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

a=2

b=5

c=−12

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

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the identified values into the quadratic formula.

x=(−(5)±√(,(5)2−4*(2)*(−12)))/(2*(2))

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

x=(−5±√(,25+96))/4

x=(−5±√(,121))/4

5. Evaluate the square root of 121

x=(−5±11)/4

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

(x_1)=(−5+11)/4=6/4=3/2

(x_2)=(−5−11)/4=(−16)/4=−4

Final Answer

x=3/2,−4

Want more problems? Check here!