x3 - 11x2 + 18x = 0
x (x2 - 11x + 18) = 0 . . . . x = 0 is a root.
x (x - 9) ( x - 2) = 0 . . . . x = 9 and x = 2 are roots.
X = 0, 2, 9
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The discriminant is 0.
2x2+18x = 20 2x2+18x-20 = 0 x2+9x-10 = 0 (x+10)(x-1) = 0 x = -10 or x = 1
18x + 12y = 72 to get x-int. put y=0 18x + (12)(0) = 72 18x = 72 x = 4 your x-intercept is 4. this is the place where the line goes through the x-axis.
Using the quadratic equation formula: x = 1 or x = -10
Y = 3X^2 + 18X + 15 set to zero 3X^2 + 18X + 15 = 0 divide through by 3 X^2 + 6X + 5 = 0 now easy factor by inspection (X + 1)(X + 5) X = -1 X = -5 -1 checks by inspection and I assume -5 will check also