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brilliants [131]
3 years ago
7

Find the value of x if x/3-2=6

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0

\huge\textsf{Hey there!}

\mathsf{\dfrac{x}{3}-2=6}

\mathsf{= \dfrac{1}{3}x - 2 = 6}

\textsf{ADD 2 BOTH SIDES}

\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}

\textsf{CANCEL out: -2 + 2 because that gives you 1}

\textsf{KEEP: 6 + 2 because that helps solve for x}

\mathsf{6 + 2 = \boxed{\bf 8}}

\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}

\textsf{MULTIPLY 8 to BOTH SIDES}

\mathsf{3\times\dfrac{1}{3}x=3\times8}

\mathsf{CANCEL\  out: \ 3 \times  \dfrac{1}{3} \  because \ that \ gives \ you \  1}

\mathsf{KEEP: \  3 \times 8 \ because \ that\  gives \ you \ the \ value \ of \ x}

\mathsf{\boxed{\bf x}= 3\times8}

\mathsf{3\times8 = \boxed{\bf x}}

\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

PolarNik [594]3 years ago
6 0

Step-by-step explanation:

hope it is helpful to you

stay safe happy and healthy

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Step-by-step explanation:

I start with a variable substitution:

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Remembering that complex numbers can be written as:

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Using this:

Z=\left \{ {{{\frac{\sqrt{2}}{2} e^{i45°} } \atop {{\frac{\sqrt{2}}{2} e^{i-45°} }} \right.

Solving for the modulus and the angle:

Z=\left \{ {{\sqrt[4]{\frac{\sqrt{2}}{2} e^{i45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i45}} } \atop {\sqrt[4]{\frac{\sqrt{2}}{2} e^{i-45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i-45}} }} \right.

The possible angle respond to:

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Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"

In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

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Answer:

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Discussion:  

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