- #1

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## Homework Statement

If roots of the equation ##x^2 - 10cx - 11d = 0## are ##a, b## and those of ## x^2 - 10ax - 11 b = 0## are ##c, d## then the value of ##a + b + c + d## is (##a, b, c## and ##d## are distinct numbers)

## Homework Equations

## The Attempt at a Solution

##a+b=10c##

##c+d=10a##

## ab=-11d##

##cd=-11b##

Four equations, four unknowns. Obviously, this isn't supposed to be solved using regular elimination. It gets way too terrible. I can't think of a better way though. Please help.