Solve Using the Quadratic Formula x^2-4x+3=0

Problem

x2−4*x+3=0

Solution

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

a=1

b=−4

c=3

2. Apply the quadratic formula by substituting the values into x=(−b±√(,b2−4*a*c))/(2*a)

x=(−(−4)±√(,(−4)2−4*(1)*(3)))/(2*(1))

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

x=(4±√(,16−12))/2

x=(4±√(,4))/2

4. Evaluate the square root and simplify the fraction.

x=(4±2)/2

5. Solve for both possible values of x

x=(4+2)/2=6/2=3

x=(4−2)/2=2/2=1

Final Answer

x=3,1

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