For y=x^2-6x-11
complete the square
so roots
set y=0
0=x^2-6x-11
group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots
+/-2√5=x-3
add 3 to both sides
3+/-2√5=x
so
x=3+2√5 and 3-2√5
Did you misspell the title ? What does th mean?
Answer: x=2
step by step explanation:
Answer:
8 parts multiply 45x8=360
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have to write in y = mx + c form
3x - 5y = 25
-5y = -3x - 25
![y=\frac{-3x+25}{-5}\\\\y=\frac{-3x}{-5}+\frac{25}{-5}\\\\y=\frac{3x}{5}+(-5)\\\\y=\frac{3x}{5}-5\\\\slope=\frac{3}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3x%2B25%7D%7B-5%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-3x%7D%7B-5%7D%2B%5Cfrac%7B25%7D%7B-5%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B3x%7D%7B5%7D%2B%28-5%29%5C%5C%5C%5Cy%3D%5Cfrac%7B3x%7D%7B5%7D-5%5C%5C%5C%5Cslope%3D%5Cfrac%7B3%7D%7B5%7D)