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N76 [4]
3 years ago
12

√2:(1+√3)::√6:x,then x is equal to​

Mathematics
2 answers:
Xelga [282]3 years ago
6 0

Answer:

  • x = 3+\sqrt{3}

Step-by-step explanation:

  • \sqrt{2}/(1+\sqrt{3})=\sqrt{6} /x\\
  • x = \sqrt{6}(1+\sqrt{3})/\sqrt{2}
  • x =\sqrt{3}(1+\sqrt{3})
  • x = 3+\sqrt{3}
IceJOKER [234]3 years ago
5 0

Answer:

Is correct answer

Step-by-step explanation:

So, A triangle means ÷ and . Means space

\sqrt{2} ÷ 1 + \sqrt{3}= \sqrt{6} ÷ x

x =\sqrt{6} . x (1+\sqrt{3}) ÷ \sqrt{2}

x = \sqrt{3} .(1+\sqrt{3)}

x= \sqrt{3} +3

(Hope this helps can I pls have brainlist (crown)☺️)

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6

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3 years ago
(03.05 MC) Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for
ycow [4]

Answer:

x = 0 and x = -2 are solutions of the given rational equation.

Step-by-step explanation:

We must solve the following rational equation:

\frac{x}{2} = \frac{x^{2}}{x-2}

Now we present the procedure:

1) \frac{x}{2} = \frac{x^{2}}{x-2} Given

2) x\cdot (x-2) = 2\cdot x^{2} Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) x^{2}-2\cdot x = 2\cdot x^{2} Distributive property/a^{b}\cdot a^{c} = a^{b+c}

4) x^{2} + 2\cdot x = 0 Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property

5) x \cdot (x+2) = 0 Distributive property/a^{b}\cdot a^{c} = a^{b+c}

6) x = 0\, \lor\, x = -2 Result

Now we check the rational equation with each root:

x = 0

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{0}{2} = \frac{0^{2}}{0-2}

0 = \frac{0}{-2}

0 = 0

x = 0 is a solution of the rational equation.

x = -2

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{-2}{2} =  \frac{(-2)^{2}}{-2-2}

-1 = -1

x = -2 is a solution of the rational equation.

4 0
3 years ago
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