the zeroes of x2-2x+1
Answers
Step-by-step explanation:
x^2 - 2x + 1
x^2 - x - x + 1
x ( x - 1 ) - 1 ( x- 1)
(x-1) (x-1)
therefore , the zero of the equation is 1 only
Answer:Complete step by step solution:
The polynomial equation is x2+2x+1
.
Firstly we will split the middle term into two parts such that its multiplication will be equal to the product of the first term and the third term of the equation. Therefore, we get
⇒x2+x+x+1
Now we will be taking x
common from the first two terms and taking 1 common from the last two terms. Therefore the equation becomes
⇒x(x+1)+1(x+1)
Now we will take (x+1)
common from the equation we get
⇒(x+1)(x+1)
Therefore, these are the factors of the equation. Now we will equate these factors to zero to get the value of x
. Therefore, we get
⇒x+1=0
⇒x=−1
As both the factors are the same therefore the value of x
is −1,−1
.
Step-by-step explanation: