Question 177255
Is the equation {{{1/(x) + 1/(1.25x) = 1/(5)}}} ???



{{{1/(x) + 1/(1.25x) = 1/(5)}}} Start with the given equation.



{{{6.25*cross(x)(1/cross(x)) + cross(6.25)^5*cross(x)(1/cross(1.25x)) = cross(6.25)^1.25*x(1/cross(5))}}} Multiply EVERY term by the LCD {{{6.25x}}} to clear out the fractions.



{{{6.25+5=1.25x}}} Multiply and simplify.



{{{11.25=1.25x}}} Combine like terms.



{{{11.25/1.25=x}}} Divide both sides by 1.25 to isolate x.



{{{9=x}}} Divide



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Answer:


So the answer is {{{x=9}}}