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±√(,1))/2

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

x=(3±1)/2

6. Calculate the first solution using the plus sign.

x=(3+1)/2=4/2=2

7. Calculate the second solution using the minus sign.

x=(3−1)/2=2/2=1

Final Answer

x=1,2

Want more problems? Check here!