Question

Solve for x in the following equation.

Answer 1

Answer to this equation:

B. x=4;-8

You can use an online calculator or just a calculator for this. :)

Answer 2

For this case we must solve the following equation of the second degree:

`x ^ 2 + 4x = 32\\x ^ 2 + 4x-32 = 0`

The solution is given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}`

Where:

`a = 1\\b = 4\\c = -32`

Substituting:

`x = \frac {-4 \pm \sqrt {4 ^ 2-4 (1) (- 32)}} {2 (1)}`

`x = (-4\pm√(16+128))/(2)`

`x = \frac {-4 \pm \sqrt {144)}} {2}`

`x = \frac {-4 \pm12} {2}`

So:

`x_ {1} = \frac {-4 + 12} {2} = \frac {8} {2} = 4\\x_ {2} = \frac {-4-12} {2} = \frac {-16} {2} = - 8`

Answer:

`x_ {1} = 4\\x_ {2} = - 8`