7x+3x=3535 7x^2+3x=35+35 7x^2+3=(35+35)x 7x^2 35x 35x+3=0 7x(x 5) 35(x 5)=0 (x 5)(7x 35)=0 x=5 or 335 ...

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Addition of Rational Expressions

Solve : 7x+3...

Question

Solve :
$7 x + \frac{3}{x} = 35 \frac{3}{5}$

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Solution

$7 x + \frac{3}{x} = 35 \frac{3}{5}$

$\frac{7 x^{2} + 3}{x} = 35 + \frac{3}{5}$

$7 x^{2} + 3 = (35 + \frac{3}{5}) x$

$7 x^{2} - 35 x - \frac{3}{5} x + 3 = 0$

$7 x (x - 5) - \frac{3}{5} (x - 5) = 0$

$(x - 5) (7 x - \frac{3}{5}) = 0$

$x = 5$ or $\frac{3}{35}$

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