Question

If α,β are the roots of ax^2
+bx+c=0 and α+k,β+k are the roots of px^2
+qx+r=0, then k =​​

Answer 1

Step-by-step explanation:

then k is.

I Don'T nO .

Answer 2

Answer:

α, β are the roots of the equation ax² + bx + c = 0

$\alpha + \beta = \frac{ - b}{a} \: ........(1)$

α + k, β + k are the roots for px² + qx + r = 0

$\alpha + k + \beta + k = \frac{ - q}{r} \\ \frac{ - b}{a} + 2k = \frac{ - q}{r} \\ k = \frac{1}{2}{}( \frac{b}{a} - \frac{q}{r})$

Hope it's helpful