Question

(w+14)/(4w+6)=(3)/(4) show work plz

Answer 1

Answer:

w = -1.44 and w = -14.06

Step-by-step explanation:

That "(3) / (4)" in  (w+14)/(4w+6)=(3)/(4) looks fishy.  Assuming that you really meant 3/4, then we have   (w+14)/(4w+6)=3/4.

Mult. both sides by 4 to remove the fraction:  4(w+14)/(4w+6) = 3.

Multiply out (w+14)/(4w+6):  4w^2 + 6w + 56w + 84.  Combine the w terms, obtaining 4w^2 + 62w + 84.  Then the original equation becomes:

4w^2 + 62w + 84 = 3, or  4w^2 + 62w + 81 = 0.

This is a quadratic equation, with a = 4, b = 62 and c = 81.  The two roots (values of

w) are as follows:

        -62 plus or minus √(62^2-4(4)(81)

   ----------------------------------------------------------

                               8

         -62 plus or minus √(2548)           -62 plus or minus 50.48

w = -------------------------------------------   =  ---------------------------------------

                            8                                                  8

Simplifying, we get w = -1.44 and w = -14.06