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

Problem

x2+3*x−2=0

Solution

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

a=1

b=3

c=−2

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 of a b and c into the formula.

x=(−(3)±√(,(3)2−4*(1)*(−2)))/(2*(1))

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

x=(−3±√(,9+8))/2

x=(−3±√(,17))/2

5. Separate the expression into the two possible solutions for x

x=(−3+√(,17))/2

x=(−3−√(,17))/2

Final Answer

x=(−3±√(,17))/2

Want more problems? Check here!