Question

de la a la d.
Punctaj maxim!​

Answer 1

$\it a)\ x+\sqrt2=\sqrt8 \Rightarrow x+\sqrt2=\sqrt{4\cdot2} \Rightarrow x+\sqrt2=2\sqrt2 \Rightarrow x=2\sqrt2-\sqrt2 =\sqrt2\\ \\ b)\ 4,5x+9=13,5|_{-9} \Rightarrow 4,5x=4,5|_{:4,5} \Rightarrow x=1\\ \\ c)\ \sqrt3x-2=1 \Rightarrow \sqrt3x=1+2 \Rightarrow \sqrt3x=3 \Rightarrow \sqrt3x=\sqrt3\cdot\sqrt3|_{:\sqrt3} \Rightarrow x=\sqrt3\\ \\ d) -3\dfrac{1}{2}x-1,5=(\sqrt2)^2\Rightarrow-3,5x-1,5=2|_{+1,5}\Rightarrow -3,5x=3,5\Rightarrow x=-1$

Answer 2

x + √2 = √8

x + √2 = √2²×2

x + √2 = 2√2

x = 2√2 - √2

x = √2

4,5x + 9 = 13,5

4,5x = 13,5 - 9

4,5x = 4,5

x = 1

√3·x - 2 = 1

√3·x = 1 + 2

√3·x = 3

x = 3/√3

x = 3√3/3

x = √3

- 3 1/2·x - 1,5 = (√2)²

(-3×2+1)x/2 - 1,5 = 2

(-6+1)x/2 = 2 + 1,5

- 7x/2 = 3,5

- 7x = 7

x = - 1