什么是x的所有值: frac {2} {x + 6} + frac {2x} {x + 4} = frac {3x} {x + 6}?

什么是x的所有值: frac {2} {x + 6} + frac {2x} {x + 4} = frac {3x} {x + 6}?
Anonim

回答:

#COLOR(蓝色)(X = 4)的颜色(白色)( “XX”)orcolor(白色)( “XX”)的颜色(蓝色)(X = -2)#

说明:

特定

#COLOR(白色)( “XXX”)2 /(X + 6)+(2×)/(X + 4)=(3×)/(X + 6)#

#rArr颜色(白色)(“XX”)(2x)/(x + 4)=(3x-2)/(x + 6)#

交叉相乘。

#color(白色)(“XXX”)(2x)xx(x + 6)=(3x-2)xx(x + 4)#

#rArrcolor(白色)( “XX”)2×^ 2 + 12×3×= ^ 2 + 10X-8#

#rArrcolor(白色)( “XX”)的x ^ 2-2x-8 = 0#

#rArrcolor(白色)( “XX”)(X-4)(X + 2)= 0#

#rArr {:(x-4 = 0,颜色(白色)(“XX”)或颜色(白色)(“XX”),x + 2 = 0),(rarrx = 4,,rarrx = -2):} #