Question

va rog ajutor aici algbera​

Answer 1

1. X2=12-3
X2=9=radical din 9 = 3
X egal cu -3
X egal cu 3

2.x2=75 împărțit la 3
X2 egal 25
X= radical din 25 egal 5

X egal -5
X egal 5


Acum daca nu te superi iti voi da doar rezultatul


3.

X egal -3/5
X egal 3/5


4. X egal -2
X egal 2


5. X egal -5
X egal 5



6.x1 egal -7
X2 egal 11


7. X egal -5/4
X egal 5/4


8. X egal -6
X egal 6



9. X egal - radical din 2
X egal radical din 2





Unde scrie (-) este minus

Answer 2

Explicație pas cu pas:

1)

${x}^{2} + 3 = 12 \\ {x}^{2} = 12 - 3$

${x}^{2} = 9 \iff {x}^{2} = {3}^{2} \implies |x| = 3$

$x = -3 ; x = 3$

2)

$3 {x}^{2} = 75 \iff {x}^{2} = 25 \implies {x}^{2} = {5}^{?}$

$|x| = 5$

$x = -5; x = 5$

3)

${x}^{2} = 0.36 \iff {x}^{2} = \dfrac{36}{100} = \dfrac{9}{25}$

${x}^{2} = {\bigg(\dfrac{3}{5} \bigg)}^{2} \implies |x| = \dfrac{3}{5}$

$x = - \dfrac{3}{5}; x = \dfrac{3}{5}$

4)

${x}^{2} + 10 = 6 \iff {x}^{2} = 6 - 10 \\ {x}^{2} = - 4 < 0 \implies x \not\in \mathbb{R}$

5)

${12}^{2} + {x}^{2} = {13}^{2} \iff {x}^{2} = 169 - 144$

${x}^{2} = 25 \iff {x}^{2} = {5}^{2} \implies |x| = 5$

$x = -5; x = 5$

6)

${(x - 2)}^{2} = 81 \iff {(x - 2)}^{2} = {9}^{2}$

$|x - 2| = 9$

$x - 2 = - 9 \implies x = - 7$

$x - 2 = 9 \implies x = 11$

7)

$8 {x}^{2} = \dfrac{25}{2} \iff {x}^{2} = \dfrac{25}{16} \iff {x}^{2} = \dfrac{ {5}^{2} }{ {4}^{2} }$

${x}^{2} = {\bigg(\dfrac{5}{4} \bigg)}^{2} \implies |x| = \dfrac{5}{4}$

$x = - \dfrac{5}{4} ; x = \dfrac{5}{4}$

8)

$\dfrac{x}{4} = \dfrac{9}{x} \iff {x}^{2} = 36 \implies {x}^{2} = {6}^{?}$

$|x| = 6$

$x = -6; x = 6$

9)

$\sqrt{3} \cdot {x}^{2} = \sqrt{12} \iff {x}^{2} = \sqrt{4} \iff {x}^{2} = 2$

$|x| = \sqrt{2}$

$x = - \sqrt{2}; x = \sqrt{2}$