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how to solve this equation involving radicals.
8x(x – 6)1/2 + 4(x – 6)3/2 = 0

Sagot :

Panoyinidn
8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = -(-20) +/- √((-20²) - 4(8)(-36))
                        2(8)
x = 20 +/- √(400 + 1152)
                  16
x = 20 +/- √1552
             16
x = 20 +/- √(16 × 97)
                16
x = 20 +/- √16 √97
               16
x = 20 +/- 4 √97
              16
x = 20 +/- 4(9.848857802)
                     16
x = 20 +/- 39.39543121
                    16
x = 20 + 39.39543121        x = 20 - 39.39543121
                  16                                        16
x = 59.39543121                x = -19.39543121
              16                                         16
x = 3.71221445                  x = -1.212214451
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