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Algebraic Identities

If a and b ar...

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If a and b are unequal and X^2+ ax + b and x^2+ bx + a have a common factor then the value of a + b is

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Q. If a and b are unequal and

x^{2} + a x + b

x^{2} + b x + a

have a common factor, then:

Q. If the equations

x^{2} + a x + b = 0

x^{2} + b x + a = 0

have a common root, then the value of

a + b

If a not equal to b and x²+ax+b and x²+bx+a have a common factor, show that a+b+1=0

Q. If the quadratic equations

x^{2} + a x + b = 0

x^{2} + b x + a = 0 (a \neq b)

have a common root, then the numerical value of

- (a + b)

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x^{2} + b x + a = 0, a \neq b,

have a common root

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