Coltonh117idn
Answered

Get expert insights and community-driven knowledge on IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

Which statement describes the solutions of this equation?

Which Statement Describes The Solutions Of This Equation class=

Sagot :

Sqdancefanidn

Answer:

  C.  The equation has two valid solutions

Step-by-step explanation:

A rational equation like this is often solved by "cross-multiplying" to eliminate the fractions. When we do that, we get ...

  4(2x+10) = x(3x+1) . . . . . . . multiply both sides by (3x+1)(2x+10)

  3x² -7x -40 = 0 . . . . . . . . . . rearrange to standard form

  3x² -15x +8x -40 = 0 . . . . . . separate -7 into factors of 3(-40)

  3x(x -5) +8(x -5) = 0 . . . . . factor pairs of terms

  (3x +8)(x -5) = 0 . . . . . . . finish factoring

The zeros of these factors are not zeros of the original denominators, so neither of the solutions these give is extraneous.

  3x +8 = 0   ⇒   x = -8/3

  x -5 = 0   ⇒   x = 5

View image Sqdancefan
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.