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horrorfan [7]
3 years ago
15

Which values of P and Q result in an equation with exactly one solution?

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

C. Q=−31, P = -2

Step-by-step explanation:

2x+Q = Px−31

A. Q = −2 and P=2

2x+Q=Px−31

2x - 2 =2x - 31

0x = -29

0 ≠ -29 : NO SOLUTION

B.Q=31 and P=2

2x+Q=Px−31

2x + 31 = 2x - 31

0x = -62

0 ≠ -62 : NO SOLUTION

C. Q=−31, P = -2

2x+Q=Px−31

2x - 31 = -2x - 31

4x = 0

 x = 0 : ONE SOLUTION

D. Q=-31 and P=2

2x+Q=Px−31

2x - 31 = 2x - 31

0x = 0

0 = 0: Infinitely many solutions

Answer:

C. Q=−31, P = -2

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Answer:

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Step-by-step explanation:

Data

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Process

1.- Write equations to help to solve this problem

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3.- Expand

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-Find the prime factors of -15

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                            5  5

                             1

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3.- Factor l² -2l - 15 = 0

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4.- Find the values of l

                 l₁ - 5 = 0            l₂ + 3 = 0

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The length if the rectangle = 5, it could not be -3, because there are no negative lengths.      

5.- Find w

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