Question

resolva a equação X/x+60 = 7/3x-5

Answer 1

$\frac{x}{x+60} =\frac{7}{3x-5}$

$7(x+60)=x(3x-5)$

$7x+420=3x^{2} -5x$

$-3x^{2} +5x+7x+420=0$

$-3x^{2} +12x+420=0$

a=-3

b=12

c=420

Δ=$12^{2} -4.-3.420$

Δ=$144+5040$

Δ=$5184$

$x1=\frac{-12+\sqrt{5184}}{2.-3} =\frac{-12+72}{-6} =-\frac{60}{6} =-10$

$x1=\frac{-12-\sqrt{5184}}{2.-3} =\frac{-12-72}{-6} =\frac{84}{6} =14$