Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts.
2x² = 13x +7
Rewrite the equation in factored form.

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = -1/2, x = 7

Step-by-step explanation:

Written in standard form, the equation is ...

  2x² -13x -7 = 0

We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...

  2x² -14x +x -7 = 0

  2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms

  (2x +1)(x -7) = 0 . . . . . . . . factored form

The solutions are the values of x that make these factors zero.

  2x +1 = 0   ⇒   x = -1/2

  x -7 = 0   ⇒   x = 7

The solutions to the quadratic are x = -1/2 and x = 7.

View image sqdancefan
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.