Solve for x 12x^2-176x+484=0

Problem

12*x2−176*x+484=0

Solution

1. Divide the entire equation by the greatest common divisor of the coefficients, which is 4 to simplify the quadratic.

3*x2−44*x+121=0

2. Identify the coefficients a b and c for use in the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

a=3

b=−44

c=121

3. Substitute the values into the quadratic formula.

x=(−(−44)±√(,(−44)2−4*(3)*(121)))/(2*(3))

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

x=(44±√(,1936−1452))/6

x=(44±√(,484))/6

5. Evaluate the square root of 484 which is 22

x=(44±22)/6

6. Solve for the two possible values of x by calculating both the addition and subtraction cases.

(x_1)=(44+22)/6=66/6=11

(x_2)=(44−22)/6=22/6=11/3

Final Answer

x=11,11/3

Want more problems? Check here!