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Mumz [18]
4 years ago
14

Which of the following correctly completes the the square for the equation below? x^2+18x=0

Mathematics
2 answers:
Nookie1986 [14]4 years ago
4 0
X² +18x = 0

To complete the square we are going to use formula a² +2ab +b² = (a+b)²

x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18

The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18

My name is Ann [436]4 years ago
3 0
We know that a perfect square has the form
(x+y)^2 = x^2+2xy+y^2
If we substitute the numbers in the given equation, we have 
(x+y)^2 = x^2+2xy+y^2 = x^2+2x(9) + y^2
By comparison of the coefficients of the term xy, we have y=9, hence we need y^2=9^2=81 to complete the square. 

The completed square would be
(x+9)^2-81=0  (which expands back to x^2+18x=0)

However, if the objective is to solve the equation, I would solve it by factoring, i.e. 
x^2+18x=0 => x(x+18)=0 => x=0 or x=-18
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Divide x^3-3x^2-10x+24 by x-1
lesya [120]

Answer:

x^2 - 2x - 12 with remainder 12

Step-by-step explanation:

Synthetic division is the fastest way in which to carry out this division.

The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division.  Setting up synthetic division, we get:

1     /      1     -3     -10     24

                     1      -2     -12

      --------------------------------

             1      -2     -12      12

The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:

The quotient is 1x^2 - 2x - 12 and the remainder is 12.

6 0
3 years ago
During a cold spell in January 1989, Homer, Alaska, recorded
Oksanka [162]
I think the answer is -48°F
6 0
3 years ago
Match each slope and y-intercept with the appropriate linear equation.
Bumek [7]

Answer:

m= 4, b = 3 matches with y = 4x +3

m=5, b = -2 matches with y = 5x - 2

m = 3, b = 4 matches with y = 3x + 4

m = -2, b=5 matches with y = -2x + 5

Step-by-step explanation:

Slope-intercept form is <em>y = mx + b</em><em> </em>in which m = slope and b = y-intercept

7 0
3 years ago
Read 2 more answers
What is -12 divided by 2/3? A. –36 B. –24 C. –18 D. –8
vazorg [7]

What is -12 divided by 2/3?


your answer is -18

5 0
3 years ago
Members of the swim teams at a competition want to wash their hair. The bathroom has less than 5600 liters of water and at most
klemol [59]

Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

<h3>What is inequality?</h3>

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

For 35 long haired and 40 short haired member.
Put this values in the given equation.

For water 70L+60S < 5600
  70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds


For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds

Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1


4 0
2 years ago
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