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

Question

1023 views around the world

You can reuse this answer
Creative Commons License

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.