Question

Camila's favorite number is positive, and the square of her number plus twice her number

Answer 1

Answer:

Camila's favorite number is 4

Step-by-step explanation:

Hello, I can help you with this.

you can easily solve this by constructing a equation for the situation and then to find the unknown value.

Step 1

define

Let

x= the Camila's favorite

according to the problem.

Camila's favorite number is positive,so

X≥0

and

the square of her number plus twice her number is 24

$x^{2} +2x=24$

Step 2

$x^{2} +2x-24=0$

solve for x

using the quadratic equation

$x=-\frac{-b +-\sqrt{b^{2}-4ac } }{2a}$

a=1

b=2

c=-24

put the values into the equation

$x=\frac{-2 +-\sqrt{2^{2}-4(1)(-24)} }{2(1)}\\x=\frac{-2 +-\sqrt{4+96} }{2}\\\\x=\frac{-2 +-\sqrt{100} }{2}\\\\x=\frac{-2+10}{2} \\x=\frac{8}{2} \\x=4$

the second x in -6, it does not work because we are looking for a positive number so the answer is

4

Have a great day.