Question

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

4k^2+17k+7=3k
a=4 b=14 c=7

Answer 1

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)