Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

how do I solve for x :
2(x-5)^2+13=31

Sagot :

Panoyin
                         2(x - 5)² + 13 = 31
                 2(x - 5)(x - 5) + 13 = 21
        2(x(x - 5) - 5(x - 5)) + 13 = 21
2(x(x) - x(5) - 5(x) + 5(5)) + 13 = 21
        2(x² - 5x - 5x + 25) + 13 = 21
             2(x² - 10x + 25) + 13 = 21
     2(x²) - 2(10x) + 2(25) + 13 = 21
               2x² - 20x + 50 + 13 = 21
                       2x² - 20x + 63 = 21
                                       - 21  - 21
                       2x² - 20x + 42 = 0
             2(x²) - 2(20x) + 2(21) = 0
                     2(x² - 20x + 21) = 0
                                 2               2
                         x² - 20x + 21 = 0
                                            x = -(-20) +/- √((-20)² - 4(1)(21))
                                                                      2(1)
                                            x = 20 +/- √(400 - 84)
                                                               2
                                            x = 20 +/- √(316)
                                                            2
                                            x = 20 +/- 2√(79)
                                                            2
                                            x = 10 + √(79)
                                            x = 10 + √(79)  U  x = 10 - √(79)
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.