Question

Complete the work shown to find a possible

solution of the equation.

(x-5)2 +5 = 2

(x+5)-3

(x - 5)2 = (-37

172

A possible solution of the equation is

Answer 1

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

Answer 2

x = 14

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