Question

rezolvati toate ex inafara de 16!
Ralid va rooog!!​

Answer 1

15.

$E(0) = (0 + 1)^{2} - |0 + 1| = 1 - 1 = 0$

$E(-1) = (-1 + 1)^{2} - |-1 + 1| = 0 - 0 = 0$

17.

$E(\sqrt{5}) = \sqrt{5}^ {4} + 3\sqrt{5}^{2} - 5 = 25 + 15 - 5 = 35$

18.

$E(\sqrt{3} - \sqrt{2}) = (\sqrt{3} - \sqrt{2})^{2} + \sqrt{3} - \sqrt{2} + \sqrt{2}(2\sqrt{3} + 1) =\\\\3 - \sqrt{6} + 2 + \sqrt{3} - \sqrt{2} + 2\sqrt{6} + \sqrt{2} =\\\\5 + \sqrt{6} + \sqrt{3}$

19. Evident fals.

20.  Evident adevărat, x = 0.

Demonstrație:

$(x + 1)^{2} = x^{2} + 1\\\\x^{2} + 2x + 1 = x^{2} + 1\\\\x^{2} - x^{2} + 2x + 1 - 1 = 0\\\\2x = 0\\\\x = 0$