1. find the quotient.
0.003

0.5

Step-by-step explanation:

u can also express the quotient remainder as a fraction or decimal. You can calculate the decimal by first placing a decimal point following your quotient of 2 and then continuing long division by adding a zero to your remainder, transforming it from 4 to 40. The number 8 goes into 40 five times, resulting in a final quotient of 2.5. So, if, for example, this was a monetary transaction in which you had to divide $20 between eight people, this quotient with the decimal remainder determines that each person receives $2.50. To convert this decimal to a fraction, you would translate .5 to 5/10, then reduce it to its lowest terms, which would be 1/2.

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