Answer:
Step-by-step explanation:
[tex](\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35[/tex]
Subtract both sides from 35
[tex](\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35[/tex]
Simplify:
[tex](\sqrt{z})^{2} -57=0[/tex]
Factor [tex](\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})[/tex]=0
[tex]\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0[/tex]
[tex]\sqrt{z} +\sqrt{57} =0: No Solution for Z[/tex]
[tex]\sqrt{z} -\sqrt{57} =0: z=57[/tex]
Your answer will be z=57
and No solution
