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Mathematics, 22.06.2019 21:00 babbybronx

Complete the work shown to find a possible solution of the equation. \

Answers

ansver
Answer from: ashhuizing
\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
ansver
Answer from: eayoungin

the answer is 14

Step-by-step explanation:

ansver
Answer from: AaronEarlMerringer

One possible solution is 5 + i√3.

(there are 2 solutions 5 + i√3 and 5 - i√3).

Step-by-step explanation:

(x - 5)^2 + 5 = 2

(x - 5)^2  = -3

Take square roots of both sides:

x - 5 = √-3

x - 5 = i√3

x = 5 ±  i√3.

The solutions are both complex numbers.

ansver
Answer from: paigebmaxwell6062

Step-by-step explanation:

(x-5)2+5=2

2x-10+5=2

2x=10-5+2

x=7/2

ansver
Answer from: evazquez

x = 14

Step-by-step explanation:

the expression takes the form of a radical surd. to solve a radical surd we need to isolate the expression with the root from those not under the root sign

first;

(x-5)^{1/2} this a surd, so

(x-5)^{1/2} =2-5

to eliminate the root we need to multiply it by an expression that will take it away,

since a root is the same as a power of half ()^1/2, then multiplying a half by two will make it one

we need to square both sides to eliminate the root

x -5 = (-3)^2

make x subject

x = 9 + 5

x = 14

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