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attashe74 [19]
3 years ago
11

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

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0
A. 4x + 9 = 34
    <u>      - 9   - 9</u>
          <u>4x</u> = <u>25</u>
           4      4
            x = 6.25

B. (x - 4)(x + 2) = 0
    x - 4 = 0    U    x + 2 = 0
    <u>  + 4 + 4</u>          <u>    - 2  - 2</u>
         x = 4                 x = -2

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