A and b are roots of a quadratic equation x2 + 5x + d = 0 , while a a

1.	A and b are roots of a quadratic equation x2 + 5x + d = 0 , while a and c are the roots of the quadratic equation x2 + 6x + 2d = 0 . If there is only one common root in the two equations, then value of d is 1. –2 2. –4 3. 2 4. 4
Answer» 4. 4 x² + 5x + d =0 a + b = -5 ab = d x² + 6x + 2d = 0 a + c = -6 ac = 2d ac = 2ab c = 2b ⇒ a + 2b = -6 a + b = -5 ⇒ b = -1 ⇒ a = -4 ∴ d = ab = (-4) (-1) = 4

A and b are roots of a quadratic equation x2 + 5x + d = 0 , while a and c are the roots of the quadratic equation x2 + 6x + 2d = 0 . If there is only one common root in the two equations, then value of d is 1. –2 2. –4 3. 2 4. 4

Answer»

4. 4

x² + 5x + d =0

a + b = -5

ab = d

x² + 6x + 2d = 0

a + c = -6

ac = 2d

ac = 2ab

c = 2b

⇒ a + 2b = -6

a + b = -5

⇒ b = -1 ⇒ a = -4

∴ d = ab = (-4) (-1) = 4

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A and b are roots of a quadratic equation x2 + 5x + d = 0 , while a and c are the roots of the quadratic equation x2 + 6x + 2d = 0 . If there is only one common root in the two equations, then value of d is 1. –2 2. –4 3. 2 4. 4

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