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sesenic [268]
3 years ago
8

ASAP 100 POINTS, WILL MARK BRAINLIEST, should be a whole number

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

x=2.

Step-by-step explanation:

\text{Since Pythagoras Theorem, we have}\\10^2=x.(x+48)\\\Rightarrow x^2+48x=100\\\Rightarrow x^2+48x-100=0\\\Rightarrow x^2 -2x+50x-100=0\\\Rightarrow x.(x-2)+50.(x-2)=0\\\Rightarrow (x-2).(x+50)=0\\\Rightarrow  x=2 \: \text{or} \: x=-50.\\\text{Since x is positive}\\\text{Therefore}, x=2.

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