Question

If one root of 2x square-5x+k is double the other, find the value of k

Answer 1

Answer:

Step-by-step explanation:

let one root be α and the other root be β;

given α = 2β

2x²-5x +k = p(x)

α + β = 5/2 ⇒3β= 5/2 ⇒ β = 5/6

αβ = k/2 ⇒ 2β² = k/2 ⇒ 2 * 25/36 = k/2

25/9 = k