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

Problem

2*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=2

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 values of a b and c into the formula.

x=(−(3)±√(,(3)2−4*(2)*(−2)))/(2*(2))

4. Simplify the expression inside the square root, which is the discriminant.

x=(−3±√(,9+16))/4

x=(−3±√(,25))/4

5. Evaluate the square root.

x=(−3±5)/4

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

(x_1)=(−3+5)/4=2/4=1/2

(x_2)=(−3−5)/4=(−8)/4=−2

Final Answer

x=1/2,−2

Want more problems? Check here!