3 years ago

Solve for x: 7x-3=3x+1

Mathematics

2 answers:

Elina [12.6K]3 years ago

6 0

Answer:

x=1

Step-by-step explanation

kvv77 [185]3 years ago

3 0

7x -3 = 3x+1

7x -3 +3 = 3x +1 +3

7x = 3x + 4

4x = 4

x = 1

Therefore the X is 1

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√(25 - 10 √(3) + 3)<br> (not as a decimal)

nikitadnepr [17]

Answer:

$\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}$

Step-by-step explanation:

$\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}$