Question

Can you solve (x-5)^2=3

Answer 1

x=-22 or -13

Explanation:

(x-5)^2=3

Or,x^2-10x+25=3

Or,x^2-10x=3-25

Or,x (x-10)=-22

Either

x=-22

Or,

x-10=-22

x=-22+10

x=-12

x=-22,-12

Answer 2

x = 6.73 (corrected to 3 significant figures.)

Explanation:

(x-5)^2=3

Square root both sides of the equation.

`√((x-5)^2) =√(3)`

`(x-5) = √(3)`

Add 5 to both sides.

`x = √(3) + 5`

x = 6.73 (corrected to 3 significant figures.)