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

Sagot :

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:

x = 8, -2

Step-by-step explanation:

[tex](x-3)^2=25[/tex]

[tex](8-3)^2=25[/tex]          Substitute x for 8 the subtract 8 - 3

[tex](5)^2=25[/tex]                Multiply 5 by 5

[tex]25=25[/tex]

[tex](x-3)^2=25[/tex]

[tex](-2-3)^2=25[/tex]       Substitute x for -2 then subtract -2 - 3

[tex](-5)^2=25[/tex]             Multiply -5 by -5

[tex]25 = 25[/tex]