0.5625
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 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.
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.
-26
Yes.
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.
No 9xx-18x+36 9(xx-2x+4) xx-2x+4 (doesn't factor evenly)
false
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.