Three consecutive integers have the property that when twice the first is subtracted from four times the largest the result is three more than the second. solve an algebraic expression

answer: sensy

step-by-step explanation:

47 - 90 = 43

43 - 180 = x

x = 137

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.