Question

split the middle term of x2+2x+1

Answer 1

x^2+2x+1=0

x^2+(1+1)X+1=0

x^2+X+X+1=0

X(X+1)+1(X+1)=0

(X+1)(X+1)=0

X=-1,X=-1

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Answer 2

Answer:

The middle term is splitted as $2x=x+x$

Step-by-step explanation:

We are given the quadratic equation as $x^{2} +2x+1$

Quadratic equations are defined as the polynomial equations of degree two in one variable.

It has highest degree two.

There are two roots of quadratic equation.

There are various methods of solving the equation.

Solving the equation means finding the value of $x$.

It means that solving quadratic equation gives two values of $x$.

We will use the middle term split method.

It is of the form $ax^{2} +bx+c=0$

We split middle in the way that the terms after add/subtraction gives $c$ and product is equal to $b=ac$.

So, $x^{2} +2x+1=x^{2} +x+x+1$

Hence, it gives $2x=x+x$ after split.

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