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Find the roots of the following equations.
a) 4x+9=34
b) (x-4)(x+2)=0
c) 2x^2-6x+4=0

Sagot :

Panoyinidn
A. 4x + 9 = 34
          - 9   - 9
          4x = 25
           4      4
            x = 6.25

B. (x - 4)(x + 2) = 0
    x - 4 = 0    U    x + 2 = 0
      + 4 + 4              - 2  - 2
         x = 4                 x = -2

C.          2x² - 6x + 4 = 0
    2(x²) - 2(3x) + 2(2) = 0
            2(x² - 3x + 2) = 0
                      2             2
                x² - 3x + 2 = 0
                x = -(-3) +/- √((-3)² - 4(1)(2))
                                      2(1)
                x = 3 +/- √(9 - 8)
                               2
                x = 3 +/- √(1)
                            2
                x = 3 +/- 1
                          2
                x = 3 + 1    U    x = 3 - 1
                         2                      2
                x = 4                 x = 2
                      2                       2
                x = 2                 x = 1
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