Question

how many integral sol does it have​

Answer 1

Step-by-step explanation:

literally i unable to understand ur handwriting... sorry for this

Answer 2

Answer:

There is 1 integral solution of the equation which is x = 0.

Explaination

1. General Method

The given equation is

x = 4{x} - [x]

where {. }, [. ] are fractional and greatest integer function.

or x + [x ]= 4{x}

or [x] + {x} + [x] = 4{x}, as x = [x] + {x}

or 2[x] = 3{x}.......... (1)

or [x] = 1.5{x}∈[0, 1.5) since {x}∈[0, 1)

Since [x] is an integer, [x] can be either 0 or 1 to satisfy the above condition.

Using equation (1)

When [x] = 0, 2*0 = 3{x}

or {x} = 0

So x = [x] + {x} = 0+ 0 = 0

When [x] = 1, 2*1= 3{x}

or {x} = 2/3 = 0.67

So x = [x] + {x} = 1 + 2/3

or x = 5/3

Hence solutions are x = 0, 5/3

Integral solution of the equation is 0.

2. Short Method

Since we need to find integral solution, assume that x is an integer. Therefore

[x] = x

{x} = 0

Using this in the given equation we get

x = 4*0 - x

or x = - x

or 2x = 0

or x = 0

Hence there is 1 integral solution of the equation.

If you are satisfied with my solution please mark this as brainliest answer :)