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3 years ago

Solve x^2=18 where x is a real number

Mathematics

2 answers:

V125BC [204]3 years ago

6 0

Answer:

x = ±3√2

or in decimal:

x = ±4.24

Step-by-step explanation:

x² = 18

x = ±√18

= ±√2√9

= ±3√2

docker41 [41]3 years ago

3 0

Answer:

x = ± 3 $\sqrt{2}$

Step-by-step explanation:

Given

x² = 18 ( take the square root of both sides )

x = ± $\sqrt{18}$ = ± $\sqrt{9(2)}$ = ± 3 $\sqrt{2}$

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Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

Combine like terms - y + 9z - 16y - 25z + 4

alexandr402 [8]

$- 17y - 16z + 4$

Step-by-step explanation:

1) Collect like terms.

$( - y - 16y) + (9z - 25z) + 4$

2) Simplify.

$- 17y - 16z + 4$

So, therefor, the answer is -17y - 16z + 4.

8 0

3 years ago

The Smith family is traveling to visit friends. The distance to the friend's house is 276.45 miles. It takes the family 5.82 hou

Dmitriy789 [7]

Answer:

The rate is 47.5 miles per hour :D

Step-by-step explanation:

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3 years ago

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3 years ago

which number does NOT represent a whole number. a. 25. b. 13. c. 150 over3. d. 6.2

nikitadnepr [17]

6.2 is not a whole number

150/3 = 50 = a whole number
25 and 13 are whole numbers.

6 0

3 years ago