Question

form a quadratic equation whose one root is twice the other root​

Answer 1

• Let the one root be X

A/Q, The other root is 2x

$let \: x = \alpha + \beta \: and \: 2x = \alpha \beta$

So The Quadratic equation is given by

$x ^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

•°• The Quadratic equation is

$f(x) = x ^{2} - x \times x + x \times 2x \\ \\ f(x) = x ^{2} - x ^{2} + 2x ^{2}$

-x² and x² get cancelled

So our required Quadratic equation is

$f(x) = 2x ^{2}$