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 of a b and c into the formula.

x=(−(−9)±√(,(−9)2−4*(4)*(3)))/(2*(4))

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

x=(9±√(,81−48))/8

5. Calculate the final value of the discriminant.

x=(9±√(,33))/8

Final Answer

x=(9±√(,33))/8

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