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If the quadratic equations ax^2+bx+c=0 (a,b,c belongs to R, a≠0) and x^2+4x+5=0 have a common root, then a,b,c must satisfy the relations A) a>b>c B) a C) a=k; b=4k; c=5k (k belongs to R, k≠0) D) b^2-4ac is negative

If the quadratic equations ax^2+bx+c=0 (a,b,c belongs to R, a≠0) and x^2+4x+5=0 have a common root, then a,b,c must satisfy the relations
A) a>b>c
B) a
C) a=k; b=4k; c=5k (k belongs to R, k≠0)
D) b^2-4ac is negative

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Roots oo the known EQUATION are imaginary if it is said there is a comman root
We can conclude D is negetive

Option d

Regards

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