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Goryan [66]
3 years ago
5

The sum of two numbers is thirteen, and the sum of their squares is 89. Find the two number

Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

Suppose~that~the~two~numbers~are~x~and~y.\\According~to~question,\\Sum~of~the~numbers = 13\\or, x+y=13........(1)\\or, y = 13-x.......(2)\\Again,\\Sum~of~their~squares=89\\or, x^2+y^2=89\\or, (x+y)^2-2xy=89\\From~eq^n(1)~and~(2),\\13^2-2x(13-x)=89\\or, 169-26x+2x^2=89\\or, 2x^2-26x+169-89=0\\or, 2x^2-26x+80=0\\or, x^2-13x+40=0\\or, x^2-8x-5x+40=0\\or, x(x-8)-5(x-8)=0\\or, (x-5)(x-8)=0\\i.e. x=5~or~8\\When~x=5,~y=13-x=13-5=8\\When~x=8,~y=13-x=13-8=5\\So,~the~two~numbers~are~5~and~8.

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Answer:

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When multiplying or dividing an inequality by a negative "flip" the inequality sign

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

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A jewelry maker has 24 jade beads and 30 teak beads.What is the greatest number of necklaces she can make? How many beads of eac
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Jewelery maker has

24 jade beads

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So we need to find the highest common factor for both 24 and 30

The factors for both numbers are as follows

24 -1,2,3,4,6,8,12,24

30 - 1,2,3,5,6,10,15,30

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Firstly,

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Answer:

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Add the modified equations together.

We are using elimination to eliminate the variable x

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Divide by -2

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