0
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
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What is the vertex of x2 plus 18x plus 19?
The vertex is (-9, -62).
What is the slope of line given by the equation below Y equals -18x plus 17?
y=-18x+17. Since this is already in Slope-Intercept form, we can determine that the slope is negative 18.
What is the vertex form of y -3x2 - 18x - 20?
The question contains an expression, not an equation and so there is no solution.
9x2-18x plus 9 equals 0 what is the discriminant?
The discriminant is 0.
What is 2x4 plus 8x3 plus 18x?
(2x4) + (8x3) + 18x 8 + 24 + 18x 32 + 18x
What is the vertex of x2 plus 18x plus 19?
The vertex is (-9, -62).
What is the slope of line given by the equation below Y equals -18x plus 17?
y=-18x+17. Since this is already in Slope-Intercept form, we can determine that the slope is negative 18.
What is the vertex form of y -3x2 - 18x - 20?
The question contains an expression, not an equation and so there is no solution.
9x2-18x plus 9 equals 0 what is the discriminant?
The discriminant is 0.
What is 2x4 plus 8x3 plus 18x?
(2x4) + (8x3) + 18x 8 + 24 + 18x 32 + 18x
How do you solve 11x equals 20x Plus 18?
11x = 20x +1811x-20x=18x(11-20)=18-9x=18x=-2
2X2 plus 18X equals 20?
2x2+18x = 20 2x2+18x-20 = 0 x2+9x-10 = 0 (x+10)(x-1) = 0 x = -10 or x = 1
How many real number solutions does the equation have y equals 3x2 plus 18x plus 27?
It has one double solution.
What is 10x plus 17 equals 4x-1?
10x + 17 = 4x - 16x = -18x = -3
What is the x intercept of 18x plus 12y equals 72?
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.
What is x equal to in the math problem 18x equals 198?
18x= 19818x/18 = 198/18x = 11
What is y equals x2-18x plus 52 in vertex form?
y=x2-18x+52First off, this does not factor cleanly, but even if it did it would not help us. We must complete the square to yield a perfect-square trinomial (a trinomial that can be written in the form (x-a)2 where a is a real number.To do this, halve the coefficient of the single-x term (for this case, the term 18x) and square it.18/2=992=81The result of this process can be added to the two terms involving x to get a perfect square trinomial. For instance, the trinomial that would result would be:x2-18x+81=(x-9)2However, there is already 52 of that 81 that is needed present, so in reality, you only need to add 29 (81-52=29) to the right side of the equation to get a perfect-square trinomial. Whatever is done to one side of the equation must be done to the other side, so since you added 29 to the right side, you must add 29 to the left side, giving you:y+29=x2-18x+52+29y+29=x2-18x+81y+29=(x-9)2y=(x-9)2-29This is in vertex form, you can see that the vertex is at (9,-29)
