Question

solve this determine nature x minus two a and into x minus two b is equal to 4ab ​

Answer 1

Step-by-step explanation:

given equation is

(x-2a)(x-2b)=4ab

x²-2bx-2ax-4ab=0

x²+[-2(a+b)]x+(-4ab)=0

here A=0;B=-2(a+b);C=-4ab

determinent=B²-4AC

=[-2(a+b)]²-4(0)(-4ab)

=4(a+b)²-0

=[2(a+b)]²

we know that any x€R;x²>0

so [2(a+b)]²>0

determinent>0

so,roots of given equation are positive integers.

.

hope it'll help