If (x+1/x):(x-7/x)=5:4, then find the value of x.
Cross multiply o get
(x+ 1/x) * 4 = (x- 7/x) * 5 then
4x + 4/x = 5x - 35/x multiply through by x
4x^2 + 4 = 5x^2 - 35 simplify
x^2 - 39 = 0
x^2 = 39
x = +- sqrt 39 sub in to see if true....check my math, but you should see the methodology to use
find the value of x.
Hello Guest!
\((x+1/x):(x-7/x)=5:4\\ 4x+\frac{4}{x}=5x-\frac{35}{x}\\ \frac{35+4}{x}=x\\ x^2=39\)
\(x\in\{-\sqrt{39},+\sqrt{39}\}\\ x\in \{-6.245,6.245\}\)
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