Answer:
Step-by-step explanation:
1) Separate terms with roots from terms without roots.
[tex]x^2+4=\sqrt[\frac{1}{2} ]{4+1}[/tex]
2) Simplify 4 + 1 to 5.
[tex]x^2+4=\sqrt[\frac{1}{2} ]{5}[/tex]
3) Invert and multiply.
[tex]x^2+4=5^2[/tex]
4) Simplify [tex]5^2[/tex] to 25.
[tex]x^2+4=25[/tex]
5) Subtract 4 from both sides.
[tex]x^2=25-4[/tex]
6) Simplify 25 - 1 to 24.
[tex]x^2=21[/tex]
7) Take the square root of both sides.
[tex]x=\pm\sqrt{21}[/tex]
Answer:
A
Step-by-step explanation:
[tex]\sqrt{x^{2}+4}-1=2\\\sqrt{x^{2}+4}=3\\x^{2}+4=9\\x^{2}=5\\x=(plus/minus) \sqrt{5}[/tex]
