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Natali [406]
3 years ago
6

Solve:

20%20%5Csqrt%7B5%20%2B%20x%7D%20" id="TexFormula1" title=" \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} " alt=" \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
blagie [28]3 years ago
4 0
X = 4

Explanation:

sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)

sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15

sqrt(5x + x^2) + 5 + x = 15

sqrt(5x + x^2) = 10 - x

Take square of both sides

5x + x^2 = (10 - x)^2

5x + x^2 = 100 - 20x + x^2

Cancel x^2

5x = 100 - 20x

25x = 100

x = 4
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