, 22.06.2019 21:00 babbybronx

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

Step-by-step explanation:

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.

Step-by-step explanation:

(x-5)2+5=2

2x-10+5=2

2x=10-5+2

x=7/2

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;

this a surd, so

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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