Question

what is value of x if x+5/x + 6 +x+6/x+5=29/10

Answer 1

Answer:

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Answer 2

$\huge\underline\mathfrak\red{Solution}$

★${\underline{\underline{\large{\mathtt{QUESTION:-}}}}}$

Find the value of X.

$\sf{\frac{x+5}{x+6}+\frac{x+6}{x+5}=\frac{29}{10}}$

★${\underline{\underline{\large{\mathtt{SOLUTION:-}}}}}$

$\sf{\frac{x+5}{x+6}+\frac{x+6}{x+5}=\frac{29}{10}}$

$\implies\sf{\frac{(x+5)^2+(x+6)^2}{(x+6)(x+5)}=\frac{29}{10}}$

$\implies\sf{\frac{x^2+10x+25+x^2+12x+36}{x^2+5x+6x+30}=\frac{29}{10}}$

$\implies\sf{\frac{2x^2+22x+61}{x^2+11x+30}=\frac{29}{10}}$

$\implies\sf$$x=0.725$

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