Solve-x-2-6x-x-7-0-

Question Number 15262 by Tinkutara last updated on 08/Jun/17

Solve : x^{2} - 6 x + [x] + 7 = 0 .

Commented by ajfour last updated on 08/Jun/17

{(x - 3)}^{2} = 2 - [x]

N o s o l u t i o n .

Commented by mrW1 last updated on 08/Jun/17

what were if x^{2} - 6 x + [x] + 5 = 0 ?

Commented by Tinkutara last updated on 09/Jun/17

Any explanation ajfour Sir ?

Commented by ajfour last updated on 09/Jun/17

y e s Q . 15288 (i t r i e d t o u p l o a d

i m a g e h e r e, i t g o t u p l o a d e d a s

q u e s t i o n) .

Commented by Tinkutara last updated on 09/Jun/17

Thanks Sir!

Commented by mrW1 last updated on 11/Jun/17

How to solve such equations without

using graph ? For example

x^{2} - 6 x + [x] + 5 = 0

Commented by Tinkutara last updated on 13/Jun/17

Sir I found a good method . We will

write [x] = x - {x} and because we know

that 0 ⩽ {x} < 1, we will use this range

in the quadratic expression so formed .

Thus we can solve such type of

questions without graph .