Question

If
$\alpha \: and \beta$
are the roots of the equation
$x { }^{2} + x + 1 = 0$


The equation whose roots are
$\alpha {}^{19} and \: \beta {}^{7 \: } is \:$
"____________________"?​

Answer 1

Heya....

The roots of

$x {}^{2} + x + 1 = 0$

are both imaginary.

Let it be

$\gamma$

Then they are

$\gamma \: and \: \gamma {}^{2}$

$a {}^{19} = \gamma {}^{19} = \gamma \: and \: \beta {}^{7} is \: \gamma {}^{14} = \gamma {}^{2}$

So the equation is

$x {}^{2} + x + 1 = 0$

Hope it helps

Answer 2

Hope you liked it

Mark as Brainiest...