Question

Solve the equation: √2 + 4 - 1 = 2 A) ±x= √5 B) ±x = √13 OC) x= 3 D) x = 5

Answer 1

Answer:

Step-by-step explanation:

1) Separate terms with roots from terms without roots.

$x^2+4=\sqrt[\frac{1}{2} ]{4+1}$

2) Simplify 4 + 1 to 5.

$x^2+4=\sqrt[\frac{1}{2} ]{5}$

3) Invert and multiply.

$x^2+4=5^2$

4)  Simplify  $5^2$ to 25.

$x^2+4=25$

5) Subtract 4 from both sides.

$x^2=25-4$

6) Simplify 25 - 1 to 24.

$x^2=21$

7)  Take the square root of both sides.

$x=\pm\sqrt{21}$

Answer 2

Answer:

A

Step-by-step explanation:

$\sqrt{x^{2}+4}-1=2\\\sqrt{x^{2}+4}=3\\x^{2}+4=9\\x^{2}=5\\x=(plus/minus) \sqrt{5}$