Question

show that polynomial x²-2x+5 has no real zeros

Answer 1

Bonjour!

Given polynomial :- x² - 2x + 5

a = 1
b = -2
c = 5

When discriminant is less than 0 then we say the polynomial have no real zero.
(D<0)

=> D = b² - 4ac

=> D = (-2)² - 4(1)(5)

=> D = 4 - 20

=> D = -16

As, we can see that discriminant(D) is less than zero.
So, by this we can say that polynomial x²- 2x+5 has no real zeros.

Hope this helps...:)

Answer 2

Hii. ...friend

The answer is here,

$= > \: {x}^{2} - 2x + 5$

To find nature of roots.we have to find the discriminate .

$= > \: {b}^{2} - 4ac$

$= > \: ( { - 2)}^{2} - 4(1)(5)$

=> 4-20.

=> -16.

Here, Discriminate is less than zero. So, The polynomial has not real roots.

:-)Hope it helps u.