Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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)
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.