Match the vocabulary word to its correct definition. 1. additive inverse a number belonging to the set made up of the whole numbers and their opposites 2. integer 4 a number belonging to the set made up of zero and the natural numbers 3. irrational number the opposite or negative of a number; the sum of a number and its additive inverse is zero 4. natural number a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on 5. rational number a number that can be written as a ratio of two integers in the form a/b with b ≠ 0 6. whole number a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

We have to match each of the words to it's definition:

( Since we know that for any real number a the additive inverse of the number is " -a "  )

( We know that the integers are the numbers of the form {-4,-3,-2,-1,0,1,2,3,4,}  )

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

( These are the numbers which are used to count)

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