Solve Using the Quadratic Formula x^2-6x+8=0

Problem

x2−6*x+8=0

Solution

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

a=1

b=−6

c=8

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−(−6)±√(,(−6)2−4*(1)*(8)))/(2*(1))

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

x=(6±√(,36−32))/2

x=(6±√(,4))/2

5. Evaluate the square root.

x=(6±2)/2

6. Solve for both possible values of x by splitting the plus-minus sign.

x=(6+2)/2=8/2=4

x=(6−2)/2=4/2=2

Final Answer

x=4,2

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