what does a common root means in 4th question...
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Let the two quadratic equations be a1x2+b1x+c1=0 and a2x2+b2x+c2=0
Let the common root be α.
⇒b1c2−b2c1α2=c1a2−a1c2α=a1b2−a2b11
CONDITION FOR WHICH EQUATION HAVE TWO COMMON ROOTS - FORMULA
Condition for which equation have two quadratic equations a1x2+b1x+c1=0 and a2x2+b2x+c2=0 to have common roots is,
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Common Roots means that same values of X satisfies both quadratic equations.
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