Which are the solutions of the equation x^4 - 5x^2 - 36 = 0

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

- 5x² - 36 = 0

Use the substitution u = x² then the equation is

u² - 5u - 36 = 0 ← in standard form

(u - 9)(u + 4) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 9 = 0 ⇒ u = 9

u + 4 = 0 ⇒ u = - 4

This indicates there will be 2 real roots and 2 complex roots

Change back to find values of x, that is

u = 9 ⇒ x² = 9 ⇒ x = ± = ± 3 ← real roots

u = - 4 ⇒ x² = - 4 ⇒ x = ± = ± 2i ← imaginary roots

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42