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Q: Square root of 18x divided by the square root of 32?

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Yes.

That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (-1 plus or minus one third itimes the square root of 7) divided by 4.x = -0.25 + 0.22047927592204922ix = -0.25 - 0.22047927592204922iwhere i is the square root of negative one.

This quadratic equation which will have two solutions can be solved by completing the square or by using the quadratic equation formula.Completing the square:x2+18x+4 = 0(x+9)2+4 = 0(x+9)2+4-81 = 0(x+9)2 = 77x+9 = + or - the square root of 77x = -9 + or - the square root of 77If you're not too sure about the procedure of completing the square your maths tutor should be familiar with it.

x2-18x+81 = (x-9)(x-9) when factored

81. To complete the square, halve the coefficient of the x term (18/2 = 9) and add the square of this (92 = 81) to both sides: x2 + 18x = -13 ⇒ x2 + 18x + 81 = -13 + 81 ⇒ (x + 9)2 = 68

81. To complete the square of x^2 + 18x, you take half the coefficient of the x term (half of 18 is 9), and square that number (9 squared is 81). To confirm this works, you can now factor x^2 + 18x + 81 and see that it factors as (x+9)(x+9), or (x+9)^2, a perfect square.

(x+9)^2 =x^2 + 9 X^2 + 18x + 81 = X^2 +9 18X + 72 = 0 18X = -72 X =- 4

If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110

18 feet x 20 feet = 360 square feet. There are 9 square feet in one square yard, so 360 square feet = 40 square yards, not 12 square yards.

false

No 9xx-18x+36 9(xx-2x+4) xx-2x+4 (doesn't factor evenly)

For any value of x, 18x divided by 2 is always 9x.

x² - 18x - 4 = o x² - 18x = 4 x² - 18x + (18/2)² = 4 + (18/2)² x² - 18x + 81 = 4 + 81 (x - 9)² = 85 x - 9 = ±√85 x = 9 ±√85 x = 9 + √85 or x = 9 - √85 if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions:9 plus or minus 3 times the square root of 7x = 16.937253933193773x = 1.0627460668062279

5x² - 18x + 9 = (5x² - 15x) - (3x - 9) = 5x(x - 3) - 3(x - 3) = (5x - 3)(x - 3).

TrUE

47.173 x4/3 is.

18x2 +12x + 2 this is not a perfect square trinomial so let's work a little bit here. 18x2 +12x + 2 factor 2 = 2(9x2 +6x + 1) = 2(3x + 1)2 represent 2 as (√2)2 = (√2)2(3x + 1)2 = [(√2)(3x + 1)]2 take its square root = (√2)(3x + 1) for all x > -1/3.

Factors are: 9(x - 1)(x - 1) or (3x - 3)2, so yes, it is.

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)

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

It is 2x2 - 7x + 9

(2x4) + (8x3) + 18x 8 + 24 + 18x 32 + 18x

The discriminant polynomial is always [ b2 - 4ac ]. In any given expression, it's a number. In this expression, the number is zero, indicating that the expression is a square.