Question

the equation whose roots are twice the roots the equation x²-2x+4 =0 is?

Answer 1

x2 -2x +4=0
x2 - 2x =-4
b2-4ac= (-2)2-4*1*4
=4-16
=-12
roots are not real

Answer 2

Answer:

The given equation is x²-2x+4

Let roots of this equation are 'a' and 'b'

From equation a+b = 2 , ab= 4,

If roots are twice i.e., 2a and 2b

Then 2a+2b= 4, 2a*2b= 16

And equation having twice roots will be

x²- 4x+16