If one root of the equation 2x2 + kx + 4 = 0 is 2, then the other root is

Q28 of 242 Page 9

If one root of the equation 2x² + kx + 4 = 0 is 2, then the other root is

In the given equation 2x² + kx + 4 = 0

Let α and β be the two roots

α = 2 (given)

here a = 2, b = k and c = 4

sum of the roots

⇒ α + β =

⇒ 2 + β =

β = – k

α β = 2

β = 2/2 = 1(putting value of α = 2)

A quadratic equation whose one root is 2 and the sum of whose roots is zero, is

If one root of the equation ax² + bx + c = 0 is three times the other, then b² :ac =

If one root of the equation x² + ax + 3 = 0 is 1, then its other root is

If one root of the equation 4x² – 2x + (λ – 4) = 0 be the reciprocal of the other, then k