If x3 – x2 + 3x + 5 = 0 and ax2 + bx + 5 = 0 have two common roots, then find | a + b

Engineering

Mathematics

Condition for Common Roots

Question

If x³ – x² + 3x + 5 = 0 and ax² + bx + 5 = 0 have two common roots, then find | a + b | .

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(x + 1) (x² – 2x + 5) = 0 and (ax² + bx + 5) = 0

Therefore, a = 1; b = – 2.