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Solve the equation. Round the solutions to the nearest hundredth. 4(x+5)²=32

Sagot :

4(x+5)^2=32     original equation
(x+5)^2=8        divide both sides by 4
x+5=2.83         take sqrt of both sides
x=-2.17            subtract both sides by 5, x=-2.17
Panoyinidn
                           4(x + 5)² = 32
                  4(x + 5)(x + 5) = 32
        4(x(x + 5) + 5(x + 5)) = 32
4(x(x) + x(5) + 5(x) + 5(5)) = 32
        4(x² + 5x + 5x + 25) = 32
              4(x² + 10x + 25) = 32
      4(x²) + 4(10x) + 4(25) = 32
             4x² + 40x + 100 = 32
                                - 32  - 32
               4x² + 40x + 68 = 0
                                    x = -(40) ± √((40)² - 4(4)(68))
                                                          2(1)
                                    x = -40 ± √(1600 - 1088)
                                                           2
                                    x = -40 ± √(512)
                                                   2
                                    x = -40 ± 16√(2)
                                                   2
                                    x = -20 ± 8√(2)
                                    x = -20 + 8√(2)    U    x = -20 - 8√(2)
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