Question

solve 3/x+8=4/6-x.solve it as brainiest

Answer 1

3/x +8 = 4/6 - x
3/x + x = 4/6 - 8
$(3 + {x}^{2} ) \div x = (4 - 48) \div 6$
$6(3 + {x}^{2} ) = x(4 - 48)$
$18 \: + 6 {x}^{2} = 4x - 48x$
$(6 {x}^{2} + 44x \: + 18 = 0) \div 2$
$3 {x}^{2} + 22x + 9 = 0$
$x = (11 + \sqrt{94} ) \div 3$
And
$x = (11 - \sqrt{94)} \div 3$