Complete the work shown to find a possible solution of the equation. (x-5)^1/2+5=2

Mathematics

2 answers:

kozerog [31]3 years ago

7 0

Answer:

The first answer is 14

the second answer is principal, positive

Step-by-step explanation:

on edg.. good luck!!!

Andru [333]3 years ago

6 0

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
(x-5)^{\frac{1}{2}}+5=2\implies (x-5)^{\frac{1}{2}}=-3\implies \sqrt{x-5}=-3
\\\\\\
(\sqrt{x-5})^2=(-3)^2\implies x-5=9\implies x=14$

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If z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

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$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill$

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