Question

10x+6/x+9=60/x+x solve​

Answer 1

Answer:

x = [12 ± 6√79] / 10

Step-by-step explanation:

$\frac{10x+6}{x+9} =\frac{60}{x+x} \\\\\frac{10x+6}{x+9} =\frac{60}{2x} \\\\2x(10x+6)=60(x+9)\\\\20x^{2} +12x=60x+540\\\\20x^{2} +12x-60x-540=0\\\\20x^{2} -48x -540=0\\\\4(5x^{2} -12x-135) = 0\\\\5x^{2} -12x-135=0$

Using Quadratic formula,

x = [-b ± √b² - 4ac]/ 2a

x = [-(-12) ± √(-12)² - 4(5)(-135)] / 2(5)

x = [12 ± √(144 + 2700)] / 10

x = [12 ± √2844] / 10

x = [12 ± 6√79] / 10

$x=\frac{12+6\sqrt{79} }{10}$

$x=\frac{12-6\sqrt{79} }{10}$