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Akimi4 [234]
3 years ago
15

10. Write an equation of your own that has no solution. Transform the equation to demonstrate that it has no solution

Mathematics
2 answers:
liraira [26]3 years ago
6 0
-0 - -0. I think this is one because -0 - -0= nothing.
wolverine [178]3 years ago
4 0
4(x+5)+6=2(2x+3)
4x+20+6=4x+6
4x+26=4x+6
Get letters on left...so subtract 4x from right and do same to left
26=6 
no solution because 26 does not equal 6
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The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2.
andre [41]

Answer:

  • 525 = (w+4)(w)
  • 21 ft by 25 ft

Step-by-step explanation:

Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...

  A = LW

  525 = (w+4)(w)

  w^2 +4w -525 = 0

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Solutions are ...

  w = 21, w = -25

We are interested in the positive solution: w = 21.

The floor is 21 feet wide and 25 feet long.

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<em>Alternate solution</em>

Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...

  525 = (x-2)(x+2) = x^2 -4

  529 = x^2

  √529 = 23 = x

Then w=23 -2 = 21, and the length is w+4 = 25.

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3 x 1/6

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