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Prove that |1+a1 1 1 1 1+b1 1 1 1 1+c1 1...

Prove that `|1+a1 1 1 1 1+b1 1 1 1 1+c1 1 1 1 1+d|=a b c d(a+1/a+1/b+1/c+1/d)dot` Hence find the value of the determinant if `a ,b ,c , d` are the roots of the equation `p x^4+q x^3+r x^2+s x+t=0.`

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