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Ivory123 Ivory123
  • 18-05-2015
  • Mathematics
Answered

Solve the equation for all real solutions in simplest form.(use quadratic formula)

4k^2+17k+7=3k

a=4 b=14 c=7

Verified Answer :

Panoyin
Panoyin Panoyin
  • 18-05-2015

4k² + 17k + 7 = 3k
       -   3k        - 3k
4k² + 14k + 7 = 0
x = -(14) +/- √((14)² - 4(4)(7))
                      2(4)
x = -14 +/- √(196 + 112)
                     8
x = -14 +/- √(308)
                8
x = -14 +/- 2√(77)
                8
x = -7 +/- √(77)
              4
x = -1.75 +/- 0.25√(77)
x = -1.75 + 0.25√(77)    ∨    x = -1.75 - 0.25√(77)

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