Question

Solve: 1/x + 1/14-x =7/20

Answer 1

$\frac{1}{x}+\frac{1}{14-x}=\frac{7}{20}\\ \\\frac{14-x+x}{x(14-x)} =\frac{7}{20}$

$\frac{14}{14x-x^2} =\frac{7}{20}\\\\-7x^2+98x=280\\\\7x^2-98x+280=0\\\\x^2-14x+40=0\\\\x^2-4x-10x+40=0\\\\x(x-4)-10(x-4)=0\\\\(x-10)(x-4)=0\\\\x=10\\\\x=4$