Question

How can you tell if a number is a solution to an equation

Answer 1

We can tell any number is solution of any equation

by plugging that number into equation

and then we check whether it satisfies the given equation

For example:

(1)

Let's assume we have given solution x=1 of

`x^2-4x+3=0`

now, we can plug x=1 to verify it

`(1)^2-4*1+3=0`

`1-4+3=0`

`-3+3=0`

`0=0`

we can see that both sides are equal to 0

so, x=1 will be solution of this equation

(2)

Let's assume we are given x=2 is the solution

now, we can verify it in same way

`x^2-4x+3=0`

now, we can plug x=2 to verify it

`(2)^2-4*2+3=0`

`4-8+3=0`

`-4+3=0`

`-1=0`

we know that -1 can not be equal to 0

so, x=2 does not satisfy this equation

so, x=2 can not be solution of this equation