(2x-5)/sqrt(x+5)

Question
Linear equations and graphs
asked 2021-01-17
\(\displaystyle\frac{{{2}{x}-{5}}}{\sqrt{{{x}+{5}}}}\)

Answers (1)

2021-01-18
\(\displaystyle\to\frac{{{2}{x}-{5}}}{{\sqrt{{{x}+{5}}}}}=\)
Multiply by the conjugate PSK(sqrt(x+5))/(sqrt(x+5)) =((2x-5)sqrt(x+5))/(sqrt(x+5)sqrt(x+5))ZSK
\(\displaystyle{\left(\sqrt{{{x}+{5}}}\sqrt{{{x}+{5}}}={x}+{5}\right.}\)
\(\displaystyle={\left({2}{x}-{5}\right)}\frac{{\sqrt{{{x}+{5}}}}}{{{x}+{5}}}\)
Therefore, \(\displaystyle\frac{{{2}{x}-{5}}}{{\sqrt{{{x}+{5}}}}}=\frac{{{\left({2}{x}-{5}\right)}\sqrt{{{x}+{5}}}}}{{{x}+{5}}}\)
0

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