Which value must be added to the expression x^2+12x to make it a perfect-square trinomial?

Add 36. The factored form is .

Step-by-step explanation:

A perfect square is a trinomial that factors into the form . To find the value to add to it divide 20 by 2 and square it.

12/2 = 6

6*6 = 36

This means c=36. The factored form is .

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

the answer is mp

step-by-step explanation: