If every pair from among the equations x2 + ax + bc = 0, x2 + bx + ca = 0 and x2 + cx + ab = 0 has a common root, then

α+β=−a αβ=bc β+γ=−bβγ=ca γ+α=−c γα=ab2(α+β+γ)=−(a+b−c); α2β2γ2=a2b2c2α+β+γ=−12(a+b−c); αβγ=abc

If every pair from among the equations x2 + ax + bc = 0, x2 + bx + ca = 0 and x2 + cx + ab = 0 has a common root, then

α+β=−a αβ=bc β+γ=−bβγ=ca γ+α=−c γα=ab2(α+β+γ)=−(a+b−c); α2β2γ2=a2b2c2α+β+γ=−12(a+b−c); αβγ=abc

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If every pair from among the equations x² + ax + bc = 0, x² + bx + ca = 0 and x² + cx + ab = 0 has a common root, then

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The sum of the three common roots is 2(a+b+c)

The product of the three common roots is abc

The product of the three common roots is a²b²c²

The sum of the three common roots is (a+b+c)

answer is A, C.

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$\begin{array}{lll} α + β = - a αβ = bc β + γ = - b \\ βγ = ca γ + α = - c γα = ab \\ 2 (α + β + γ) = - (a + b - c); α^{2} β^{2} γ^{2} = a^{2} b^{2} c^{2} \\ α + β + γ = - \frac{1}{2} (a + b - c); αβγ = abc \end{array}$

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If every pair from among the equations x2 + ax + bc = 0, x2 + bx + ca = 0 and x2 + cx + ab = 0 has a common root, then

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If every pair from among the equations x² + ax + bc = 0, x² + bx + ca = 0 and x² + cx + ab = 0 has a common root, then