Question

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

Answer 1

A

Explanation:

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

Answer 2

Explanation:

1) Separate terms with roots from terms without roots.

`x^2+4=\sqrt[(1)/(2) ]{4+1}`

2) Simplify 4 + 1 to 5.

`x^2+4=\sqrt[(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√(21)`