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Olegator [25]
3 years ago
11

X^2+(3x-9)^2=(2x+1)^2

Mathematics
1 answer:
Delvig [45]3 years ago
6 0
                     x² + (3x - 9)² = (2x + 1)²
           x² + (3x - 9)(3x - 9) = (2x + 1)(2x + 1)
x² + (9x² - 27x - 27x + 81) = (4x² + 2x + 2x + 1)
         x² + (9x² - 54x + 81) = 4x² + 4x + 1
         (x² + 9x²) - 54x + 81 = 4x² + 4x + 1
                10x² - 54x + 81 = 4x² + 4x + 1
                <u>- 4x²                   - 4x²              </u>
                  6x² - 54x + 81 = 4x + 1
                 <u>      + 54x        + 54x      </u>
                           6x² + 81 = 58x + 1
                          <u>       -    1            - 1</u>
                           6x² + 80 = 58x
                  6x² - 58x + 80 = 0
                                       x = <u>-(-58) +/-√((-58)² - 4(6)(80)</u>
                                                              2(6)
                                       x = <u>58 +/- √(3364 - 1920)</u>
                                                            12
                                       x = <u>58 +/- √(1444)</u>
                                                      12
                                       x = <u>58 +/- 38</u>
                                                   12
                                       x = <u>58 + 38</u>        x = <u>58 - 38</u>
                                                 12                      12
                                       x = <u>96</u>                x = <u>20</u>
                                             12                      12
                                       x = 6                  x ≈ 1.67
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