Question

solve this guys☺️.....Dont spam pls❎​

Answer 1

Step-by-step explanation:

Hii mate,

here we have two equations with exactly one common root

x^2 + ax + b = 0 and x^2 + bx + a = 0

let y be the exact common root.

therefore, y^2 + ay + b = 0 …..(1)

and y^2 + by + a = 0 ……..(2)

now subtracting eq (1) from (2) we get ,

y(a - b) + (b - a) = 0

=> y (a - b) = - (b -a)

=>y (a - b) = (a - b)

=>y = 1

Therefore the common root is 1.

Substituting value of y in equation (1)

(1)^2 + a(1) + b = 0

=>1 + a + b = 0

=>a+b+1=0

HOPE IT HELPS,

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