Solve Using the Quadratic Formula 4x^2+9x+3=0

Problem

4*x2+9*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=4

b=9

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 identified values into the quadratic formula.

x=(−9±√(,9−4*(4)*(3)))/(2*(4))

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

x=(−9±√(,81−48))/8

x=(−9±√(,33))/8

5. Separate the expression into the two possible solutions for x

x=(−9+√(,33))/8

x=(−9−√(,33))/8

Final Answer

x=(−9±√(,33))/8

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