Question

find the root of equation?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

if 3 and 3 are roots of the equation

${x}^{2} + ax + \beta = 0$

a=3+3= -6 and beta=3×3=9.

8 and 2 are roots of equation

${x}^{2} + \alpha x + b = 0$

alpha = -(8+2)= -10 and b=8×2=16.

${x}^{2} + \alpha x + \beta = 0 = > {x}^{2} - 10x + 9 =$

$0 = > {x}^{2} - 9x + x - 9 = 0 = >$

$x(x - 9) - 1(x - 9) = 0 = >$

$(x - 9)(x - 1) = 0 = > (x - 9) = 0$

$or \: (x - 1) = 0 = > x = 9 \: or \: 1$

Hence the correct option is (d). Hope it helps you.