Question

Va rog frumos sa imi rezolvati problemele.​

Answer 1

Explicație pas cu pas:

a)

$\sqrt{0.(1)} \times x + \frac{1}{3} = 0 \\ \sqrt{ \frac{1}{9} } \times x + \frac{1}{3} = 0 \\ \frac{1}{3} \times x = - \frac{1}{3} \\ x = - 1$

b)

$( - 3) {}^{ - 1} + 2x = 0 \\ \frac{1}{3} + 2x = 0 \\ 2x = - \frac{1}{3} \\ x = - \frac{1}{6}$

c)

$x \times \sqrt{2} + \sqrt{2} = 0 \\ x \times \sqrt{2} = - \sqrt{2} \\ x = - 1$

d)

$- 3 \sqrt{6} + x \sqrt{6} = 0 \\ x \sqrt{6} = 3 \sqrt{6} \\ x = 3$

e)

$(2 - \sqrt{3} ) \times x = \sqrt{3} - 2 \\ - ( \sqrt{3} - 2) \times x = \sqrt{3} - 2 \\ - x = 1 \\ x = - 1$

f)

$(1 - \sqrt{7} ) \times x + \sqrt{7} - 1 = 0 \\ - ( \sqrt{7} - 1) \times x = - ( \sqrt{7} - 1) \\ - x = - 1 \\ x = 1$

g)

$(2 \sqrt{10} - 1) \times x - (1 - 2 \sqrt{10} ) {}^{2} = 0 \\ - (1 - 2 \sqrt{10}) \times x = (1 - 2 \sqrt{10} ) {}^{2} \\ - x = 1 - 2 \sqrt{10} \\ x = 2 \sqrt{10} - 1$

h)

$(5 - \sqrt{5} ) \times x = \sqrt{5}( \sqrt{5} - 1) \\ (5 - \sqrt{5} ) \times x = 5 - \sqrt{5} \\ x = 1$