Answer:
![x=3,x=-1](https://tex.z-dn.net/?f=x%3D3%2Cx%3D-1)
Step-by-step explanation:
Start with:
![x(x-1)-3(x-3)+3(x-2)=x+6](https://tex.z-dn.net/?f=x%28x-1%29-3%28x-3%29%2B3%28x-2%29%3Dx%2B6)
Distribute the values on the outside of each of the parentheses.
![x^2-x-3x+9+3x-6=x+6](https://tex.z-dn.net/?f=x%5E2-x-3x%2B9%2B3x-6%3Dx%2B6)
Combine like terms.
![x^2-x+3=x+6](https://tex.z-dn.net/?f=x%5E2-x%2B3%3Dx%2B6)
Subtract
from both sides of the equation.
![x^2-x-3=x](https://tex.z-dn.net/?f=x%5E2-x-3%3Dx)
Subtract
from both sides of the equation.
![x^2-2x-3=0](https://tex.z-dn.net/?f=x%5E2-2x-3%3D0)
Now, we need to use our quadratic equation formula:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
![x= \frac{-b+/-\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Identify your values.
![a=1\\b=-2\\c=-3](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D-2%5C%5Cc%3D-3)
Substitute.
(Solve positive)
![x= \frac{-(-2)+\sqrt{(-2)^2-4(1)(-3)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-%28-2%29%2B%5Csqrt%7B%28-2%29%5E2-4%281%29%28-3%29%7D%7D%7B2%281%29%7D)
Solve.
![x= \frac{2+\sqrt{(16}}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2%2B%5Csqrt%7B%2816%7D%7D%7B2%7D)
Find the square root of
.
![x=\frac{2+4}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%2B4%7D%7B2%7D)
Add.
![x=\frac{6}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6%7D%7B2%7D)
Simplify.
![x=3](https://tex.z-dn.net/?f=x%3D3)
~
(Solve negative)
![x= \frac{-(-2)-\sqrt{(-2)^2-4(1)(-3)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-%28-2%29-%5Csqrt%7B%28-2%29%5E2-4%281%29%28-3%29%7D%7D%7B2%281%29%7D)
Solve.
![x= \frac{2-\sqrt{(16}}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2-%5Csqrt%7B%2816%7D%7D%7B2%7D)
Find the square root of
.
![x=\frac{2-4}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2-4%7D%7B2%7D)
Subtract.
![x=\frac{-2}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-2%7D%7B2%7D)
Simplify.
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
The answer would be 17 if I'm not mistaken. I hope this helps. :)
28+x=
200
or any other way you can think of
Answer:The ratio of the number of children who can swim to the number of children who cannot swim=2:1
Step-by-step explanation:
Number of children that can swim = N umber of boys and girls that can swim =23+17 =40
Number of children that cannot swim = N umber of boys and girls that cannot swim=9+11=20
=40:20
=2:1
Answer:
<h3>
Reciprocation</h3>
Step-by-step explanation:
<u>2</u> ÷ <u>1</u>
3 3
= <u>2</u> × <u>3</u>
3 1 (Multiply)
= <u>6</u> or 2
3
Do it with the other equations