What is the solution of the equation? Square root 2x+13-5=x

x=-8

Step-by-step explanation:

simplify it first: 2x+8=x

then get x on one side: 8=-x

then make x positive: - 8=x

Add

5

5

to both sides of the equation.

√

2

x

+

13

=

x

+

5

2

x

+

13

=

x

+

5

To remove the radical on the left side of the equation, square both sides of the equation.

(

√

2

x

+

13

)

2

=

(

x

+

5

)

2

(

2

x

+

13

)

2

=

(

x

+

5

)

2

Simplify each side of the equation.

2

x

+

13

=

x

2

+

10

x

+

25

2

x

+

13

=

x

2

+

10

x

+

25

Solve for

x

x

.

x

=

-

2

,

-

6

x

=

-

2

,

-

6

Exclude the solutions that do not make

√

2

x

+

13

-

5

=

x

2

x

+

13

-

5

=

x

true.

x

=

-

2