Question

The sum of roots of the equation x2-6x+5=0

Answer 1

Answer:

sum of roots of the equation  $x2-6x+5=0$  is 5+1=6.

Step-by-step explanation:

We are given an equation$x^2-6x+5=0$.

We are asked to find the sum of roots of the equation $x^2-6x+5=0$.

$x^2-6x+5=0$

Factorise the given equation.

$x^2-5x-x+5=0$

Take x as common from first two terms and simplify it.

$x(x-5)-x+5=0$

Take -1 as common from third and fourth terms.

$x(x-5)-1(x-5)=0$

Take x-5 as common from both the terms.

$(x-5)(x-1)=0$

$x-5=0$  and$x-1=0$

$x=5$ and$x=1$

roots of the given equation are 5 and 1.

Therefore, sum of roots is 5+1=6.

Answer 2

Answer:

The sum of the roots of the equation $x^2-6x+5=0$ is 6.

Step-by-step explanation:

We have an equation $x^2-6x+5=0$ and we need to calculate the sum of their roots

Step 1 of 2

Let us first calculate the roots of the equation $x^2-6x+5=0$ which can be done as

$x^2-6x+5=0$

$x^2-5x-x+5=0\\x(x-5)-1(x-5)=0\\(x-1)(x-5)=0$

Hence the roots of the given equation are 5 and 1

Step 2 of 2

Now the sum of roots can be written as

5+1 = 6

Hence the sum of roots of the equation $x^2-6x+5=0$ is 6