Solve Using the Quadratic Formula 4x^2-12x+9=0

Problem

4*x2−12*x+9=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=−12

c=9

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=(−(−12)±√(,(−12)2−4*(4)*(9)))/(2*(4))

4. Simplify the expression inside the square root, which is the discriminant.

x=(12±√(,144−144))/8

5. Calculate the square root of the discriminant.

x=(12±√(,0))/8

6. Solve for x by simplifying the remaining fraction.

x=12/8

x=3/2

Final Answer

x=3/2

Want more problems? Check here!