Question

Find the zeros of x2-5=0 and verify the relationship between roots and coefficient

Answer 1

Step-by-step explanation:

Find the zeros of x2-5=0 and verify the relationship between roots and coefficient

Given polynomial is x2−5

Let the zeros be α,β. (α>β)

x2−5=0⇒x2=5⇒x=±5

α=5,β=−5

So, α+β=0,αβ=−5

The coefficient of x is zero ⇒α+β=0

(& of x2 is 1).

Constant = αβ=−5

Hence verified.

Answer 2

Answer:

Given polynomial is x² −5

Let the zeros be α,β. (α>β)

x² −5=0⇒x² =5⇒x=± ✓5

α= ✓5 ,β= −✓5

So, α+β=0,αβ=− ✓5

The coefficient of x is zero ⇒α+β=0

(& of x² is 1).

Constant = αβ= −5

Hence verified.