Quadratic EquationMedium
Question
A value of b for which the equations
x2 + bx - 1 = 0
x2 + x + b = 0,
have one root in common is
x2 + bx - 1 = 0
x2 + x + b = 0,
have one root in common is
Options
A.-√2
B.-i√3
C.i√5
D.√2
Solution
x2 + bx - 1 = 0
x2 + x + b = 0, .....(1)
Common root is
(b - 1) x - 1 - b = 0
⇒ x =
This value of x satisfies equation (1)
⇒
+ b = 0 ⇒ b = √3i, - √3i, 0.
x2 + x + b = 0, .....(1)
Common root is
(b - 1) x - 1 - b = 0
⇒ x =
This value of x satisfies equation (1)
⇒
+ b = 0 ⇒ b = √3i, - √3i, 0.Create a free account to view solution
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