If a number is a whole number, then it cannot be an irrational number a natural number an integer a rational number

Natural numbers are the whole numbers from 1 upwards: 1, 2, 3 and so on...

If we include the negative numbers and zero with the whole numbers, we have a new set of numbers that are called integers: ... -3, -2, -1, 0, 1, 2, 3, ...

Any number that can be written as a fraction is called a rational number.

Irrational number is called irrational, because it is not rational (can't be made using a simple ratio of integers).

For example, the whole number 16 is natural (belongs to the set of natural numbers), integer (belongs to the set of integers), rational (can be represented as 16/1), but is not irrational, because it is rational))

an irrational number

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15