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Solve (x – 3)2 = 49. Select the values of x.
=
-46
-4
10
52

Answer -4 and 10
B&C

Sagot :

Answer:

x = -4, 10

Step-by-step explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

[tex](x-3)^2=49[/tex]

[tex]\sqrt{(x-3)^2} =\sqrt{49}[/tex]

[tex]x-3=+-7[/tex]

[tex]x=3+7=10[/tex]

[tex]x=3-7=-4[/tex]

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of [tex]\sqrt{49}[/tex]

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