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 standard form a*x2+b*x+c=0

a=1

b=5

c=3

2. Apply the quadratic formula which is given by x=(−b±√(,b2−4*a*c))/(2*a)

x=(−5±√(,5−4*(1)*(3)))/(2*(1))

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

x=(−5±√(,25−12))/2

x=(−5±√(,13))/2

4. Separate the solutions into the two possible values for x

x=(−5+√(,13))/2

x=(−5−√(,13))/2

Final Answer

x=(−5±√(,13))/2

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