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

Problem

3*x2−9*x+4=0

Solution

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

a=3

b=−9

c=4

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−(−9)±√(,(−9)2−4*(3)*(4)))/(2*(3))

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

x=(9±√(,81−48))/6

x=(9±√(,33))/6

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

x=(9+√(,33))/6

x=(9−√(,33))/6

Final Answer

x=(9±√(,33))/6

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