Question

Can anyone help me solve this?​

Answer 1

Answer:

Step-by-step explanation:

$(\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35$

Subtract both sides from 35

$(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35$

Simplify:

$(\sqrt{z})^{2} -57=0$

Factor $(\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})$=0

$\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0$

$\sqrt{z} +\sqrt{57} =0: No Solution for Z$

$\sqrt{z} -\sqrt{57} =0: z=57$

Your answer will be z=57

and No solution

Answer 2

Answer:

(

z

+

22

)(

z

−

22

)=35

Subtract both sides from 35

(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(

z

+

22

(

z

−

22

)−35=35−35

Simplify:

(\sqrt{z})^{2} -57=0(

z

)

2

−57=0

Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(

z

)

2

−57:(

z

+

57

)(

z

−

57

) =0

\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0

z

+

57

=0or

z

−

57

=0

\sqrt{z} +\sqrt{57} =0: No Solution for Z

z

+

57

=0:NoSolutionforZ

\sqrt{z} -\sqrt{57} =0: z=57

z

−

57

=0:z=57

Your answer will be z=57