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
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
It is: 0
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
Y = X2 + 18X + 52 set to 0 X2 + 18X + 52 = 0 subtract 52 from each side X2 + 18X = - 52 now, halve the coefficient of the variable term (18), square it and add it to both sides X2 + 18X + 81 = - 52 + 81 now, factor on left and gather terms on right (X + 9)2 = 29 (X + 9)2 - 29 = 0 ---------------------------vertex form
x2=18x-80 (im guessing you are trying to find x) x2-18x+80=0 (x-10)(x-8)=0 Therefore: x = 10, 8
18x +12y = 0
x = -2/3,7/6
If: 3 -18x^2 = 25x then 3 -18x^2 -25x = 0 When factored: (9x-1)(-2x-3) = 0Solutions: x = 1/9 or x = -3/2
9x2 + 18x - 16 = 0 ⇒ (3x - 2)(3x + 8) = 0 ⇒ 3x - 2 = 0 → x = 2/3 or 3x + 8 = 0 → x = -22/3