We appreciate your visit to Which of the following are roots of the equation below 3x 2 6x 7 0 A 1 sqrt 10 B None of the choices C. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The roots of the quadratic equation 3x² - 6x – 7 = 0 are found using the quadratic formula. The roots simplify to 1 ± √10/3, which do not match with any of the choices provided.
Explanation:
In this mathematics problem, we're asked to find the roots of the quadratic equation 3x2 - 6x – 7 = 0. We can start by employing the quadratic formula, x = [-b ± sqrt(b2 - 4ac)] / (2a).
In our case, a is 3, b is -6, and c is -7. Substitute these into the formula to get -(-6) ± sqrt((-6)2 - 4*3*(-7)) / (2*3). This simplifies to 6 ± sqrt(36+84) / 6, which further simplifies to 6 ± sqrt(120)/6. We can simplify the square root of 120 into 2√30, so the roots are x = [6 ± 2√30] / 6, giving us 1 ± √10/3. Therefore, the roots do not match any of the choices provided.
Learn more about Quadratic Roots here:
https://brainly.com/question/26904868
#SPJ11
Thanks for taking the time to read Which of the following are roots of the equation below 3x 2 6x 7 0 A 1 sqrt 10 B None of the choices C. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada