Question

(X-3)^2=25 i need to find all the solutions to the equation

Answer 1

Answer:

x = {2, 8}

Step-by-step explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}

Answer 2

Answer:

x = 8, -2

Step-by-step explanation:

$(x-3)^2=25$

$(8-3)^2=25$          Substitute x for 8 the subtract 8 - 3

$(5)^2=25$                Multiply 5 by 5

$25=25$

$(x-3)^2=25$

$(-2-3)^2=25$       Substitute x for -2 then subtract -2 - 3

$(-5)^2=25$             Multiply -5 by -5

$25 = 25$