If -6b+2a-25 = 5 and a/b + 6 = 4, what is the value of (b/a)square?

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Answer 1 · 2018-02-27T05:25:16

#-6b+2a-25 = 5 #

#=>2a-6b = 30 => a-3b=15#

#=>a=3b+15 -> color(red)(1#

#color(white)(b=-3#

#a/b + 6 = 4#

#=>(3b+15 )/b + 6 = 4# (Replacing #a# from #color(red)(1)#)

#=>3+15/b = -2#

#=>15/b=-5#

#=>color(magenta)(b=-3#

Now, coming to #a#, #a=3b+15#
#=>a = 3(-3) +15#
#=>color(magenta)(a= 6#

To find ; #(b/a)^2 = (-3/6)^2 = (-1/2)^2 = 1/4#

#color(white)(b=-3#

Alternatively ,
Form the equation, #a/b + 6 = 4#

#a/b=-2#

#b/a=(-1)/2#

and then, squaring both the sides, we would get,

#(b/a)^2=((-1)/2)^2 = 1/4#

That's a comparatively shorter approach :)
Hope it helps.