• Freeflows
  • Problems
    • Sign in
    Polynomial Roots Sum 6

    The fourth degree polynomial equation $ x^4 - 7x^3 + 4x^2 + 7x - 4 = 0 $ has four real roots, $ a $, $ b $, $ c $ and $ d $. What is the value of the sum $ \frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d} $? Express your answer as a common fraction.

    • 1
    • 2
    • 3
    • +
    • 4
    • 5
    • 6
    • -
    • 7
    • 8
    • 9
    • $\frac{a}{b}$
    • .
    • 0
    • =
    • %
    • $a^n$
    • $a^{\circ}$
    • $a_n$
    • $\sqrt{}$
    • $\sqrt[n]{}$
    • $\pi$
    • $\ln{}$
    • $\log$
    • $\theta$
    • $\sin{}$
    • $\cos{}$
    • $\tan{}$
    • $($
    • $)$
    • $[$
    • $]$
    • $\cap$
    • $\cup$
    • $,$
    • $\infty$

    Sign in to save your progress!