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zubka84 [21]
3 years ago
6

Solve 2x2 - 8x = -7 Which of the following is a solution of x2 + 5x = -2?

Mathematics
1 answer:
Olin [163]3 years ago
5 0
2x² - 8x = -7
2x² - 8x + 7 = -7 + 7
2x² - 8x + 7 = 0
x = <u>-(-8) +/- √((-8)² - 4(2)(7))</u>
                      2(2)
x = <u>8 +/- √(64 - 56)</u>
                 4
x = <u>8 +/- √(8)</u> 
             4
x = <u>8 +/- 2.828</u>
               4
x = 2 +/- 0.707
x = 2 + 0.707      x = 2 - 0.707
x = 2.707            x = 1.293
-----------------------------------------------------------------------------------------------
x² + 5x = -2
x² + 5x + 2 = -2 + 2
x² + 5x + 2 = 0
x = <u>-5 +/- √(5² - 4(1)(2))</u>
                  2(1)
x = <u>-5 +/- √(25 - 8)</u>
                  2
x = <u>-5 +/- √(17)</u>
               2
x = <u>-5 +/- 4.123</u>
                2
x = -2.5 +/- 2.0615
x = -2.5 + 2.0615      x = -2.5 - 2.0615
x = 0.4385                x = -4.5615
<u />
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