Which of the following are solutions to the equation below? Check all that apply.
(3x - 5)2 = 19

Take the square root of each side of the equation to set up the solution for

x

(

3

x

−

5

)

2

⋅

1

2

=

±

√

19

Remove the perfect root factor

3

x

−

5

under the radical to solve for

x

.

3

x

−

5

=

±

√

19

The complete solution is the result of both the positive and negative portions of the solution.

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x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

Decimal Form:

x

=

3.11963298

…

,

0.21370035

…

13cm

step-by-step explanation:

(apex)

69.64%

step-by-step explanation: