Question

Solve for x given the equation Vx+9 -4=1. Extraneous or not

Answer 1

Answer:

x=-4/V

Step-by-step explanation:

Add 4 to both sides to cancel out the 4.

So it now the equation is Vx+9=5

Subtract 9 from both sides to cancel out the 9.

Now the equation is Vx=-4

Divide V to both sides to get x alone.

The answer being x=-4/V

Answer 2

For this case we must find the value of "x" of the following equation:

$\sqrt {x + 9} -4 = 1$

We add 4 to both sides of the equation:

$\sqrt {x + 9} = 4 + 1\\\sqrt {x + 9} = 5$

We raise both sides of the equation to the square to eliminate the radical:

$x + 9 = 5 ^ 2\\x + 9 = 25$

We subtract 9 from both sides of the equation:

$x = 25-9\\x = 16$

Answer:

$x = 16$