Question

If the roots of the equation ax2 + 2bx + c = 0 are imaginary, then prove
that the roots of the equation ay2 + 2(a + b)y + (a + 2b + c) = 0 are
also imaginary. (Here a, b, c are real numbers)​

Answer 1

Answer:

I hope the answer helps you

Answer 2

Answer:

Step-by-step explanation:

ax^2+2(a+b)x + (a +2b + c)

0>[2(a+b)]^2-4a(a+2b+c)

0>4b^2-4ac

0>b^2-ac___1

Now

ax^2+2bx+c=0

Then

D=b2-4ac

=4b^2-4.a.c

=4(b^2-ac)

From eq.1

D=imaginary roots[0>b^2-ac]