Practice Problem 6

Solve this on paper, preferably without a calculator:
2x2-18x+36 = 0
After you are done, you can click this button to see the solution, to check if you got it right.

Actual Graph of y = 2 x2-18 x+36
x = 6, 3 (sometimes solutions may be close approximations of the actual solutions)
Expression factored: 2 x2-18 x+36 = 2 (x-6)(x-3)

Solution ExplainedEquation:
a = 2 b = -18c = 36
Discriminant: b2-4ac = 18 2-4*2*36 = 36
Discriminant (36) is greater than zero. The equation has two solutions.
or
or
x1,2 = (18 ± 6) / 2*2
or
x1 = 24 / 4 = 6
x2 = 12 / 4 = 3
or
x1,2 = 6, 3
Equation factored:
2 (x-6)(x-3)