Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

3x^+5x+2=0
A Write the factored form of the trinomial.
B what are the roots of the equation?
SOS

Sagot :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given equation:

  • 3x² + 5x + 2 = 0

Factorize it in steps:

  • 3x² + 5x + 2 = 0
  • 3x² + 3x + 2x + 2 = 0
  • 3x(x + 1) + 2(x + 1) = 0
  • (x + 1)(3x + 2) = 0

The roots are:

  • x + 1 = 0 ⇒ x = - 1
  • 3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 2/3

[tex]\\ \tt\hookrightarrow 3x^2+5x+2=0[/tex]

  • Split the middle term

[tex]\\ \tt\hookrightarrow 3x^2+3x+2x+2=0[/tex]

  • Take commons

[tex]\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0[/tex]

[tex]\\ \tt\hookrightarrow (3x+2)(x+1)=0[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{-2}{3}\:or\:x=-1[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.