Solve Using the Quadratic Formula x^2-5x+3=0

Problem

x2−5*x+3=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=−5

c=3

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=(−(−5)±√(,(−5)2−4*(1)*(3)))/(2*(1))

4. Simplify the expression under the square root (the discriminant) and the denominator.

x=(5±√(,25−12))/2

5. Calculate the final values for x by simplifying the square root.

x=(5±√(,13))/2

Final Answer

x=(5±√(,13))/2

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