Question

Determine x. Me ajudem

Answer 1

Há 2 métodos possíveis:

Método 1

$6x+5=8x+10\\2x-15=0\\1^{2}x+1(x)-15=0\\1=\frac{-x+\sqrt{x^{2}+60x}}{2x}\\1=\frac{-x+x\sqrt{1+\frac{60}{x}}}{2x} \\2=-1+\sqrt{1+\frac{60}{x}}\\8=\frac{60}{x}\\\\x=\frac{15}{2}$

Método 2

$6x+5=8x+10\\2x-15=0\\1^{2}x+1(x)-15=0\\x(1^{2}+1)-15=0\\x(1+\frac{1}{2})^{2} -15-\frac{1}{4}x =0\\\sqrt{x}(1+\frac{1}{2})=\sqrt{\frac{1}{4}x+15}\\\frac{9}{4}=\frac{1}{x}(\frac{1}{4}x+15)\\\\2=\frac{15}{x}\\\\x=\frac{15}{2}$

Thats how REAL men solve equations

Bons estudos.