Which of the following is the factored form of the given equation?
6x^2 + 2x - 8 = 0
2(3x + 4)(x - 1) = 0
(6x + 1)(x - 8) = 0
2(3x + 4)(x + 1) = 0

The correct option is 1.

Step-by-step explanation:

The given equation is

Taking out the common factor.

Middle term can be written as 4x-3x, to find the factored form of the given equation.

The factored form of the given equation is 2(3x+4)(x-1)=0. Therefore the correct option is 1.

36

step-by-step explanation:

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