Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
x(x+5)=2(2+10)

Question

Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
x(x+5)=2(2+10)

misty1212 · Answer

HI!

misty1212 · Answer

not clear what that tangent part means, but if it is 
$$x(x+5)=2(x+10)$$ then when you multiply out you get 
$$x^2+5x=2x+20$$which is a quadratic

misty1212 · Answer

set equal to zero 
$$x^2+3x-20=0$$ then the quadratic formula

anonymous · Answer

then what would I do after that ? @misty1212

misty1212 · Answer

do you know the quadratic formula?

misty1212 · Answer

oh dang i made a mistake!!

misty1212 · Answer

is this the original question 
$$x(x+5)=2(2+10)$$??

misty1212 · Answer

if so, then it is just 
$$x^2+5x=24$$so $$x^2+5x-24=0$$ a totally different equation

misty1212 · Answer

this one is much easier
factor as 
$$(x-3)(x+8)=0$$ and now you can find the zeros easily

anonymous · Answer

yes! thank you @misty1212