When Chloe's height is squared and then doubled the result in 3m more than her height now. How tall is Chloe now?

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Answer 1 · 2016-01-29T03:45:32

Chloe is #1.5"m"# tall.

Let #h# represent Chloe's height in meters. Then:

#2h^2 = h+3#

#=> 2h^2-h-3 = 0#

Applying the quadratic formula , we get

#h = (-(-1)+-sqrt((-1)^2-4(2)(-3)))/(2(2))#

#=(1+-sqrt(25))/4#

#= -1# or #6/4#

We know Chloe's height must be positive, and so we can toss out the #-1# result, leaving us with

#h = 6/4#

Thus Chloe is #1.5"m"# tall.