Question

Quadratic Formula: 0.05x^2-1x+1=0

Answer 1

18.94427190999916 and 1.0557280900008425

Answer 2

without calculator

Answer 3

sry

Answer 4

make your life easier and start with
\[5x^2-100x+100=0\]

Answer 5

then divide by \(5\) to get
\[x^2-20x+20=0\]

Answer 6

now either use the quadratic formula, or complete the square
i will do the second method
\[x^2-20x+20=0\]
\[x^2-20x=-20\]
\[(x-10)^2=-20+100=80\]
\[x-10=\pm\sqrt{80}=\pm4\sqrt5\]
\[x=10\pm4\sqrt5\]

Answer 7

im trying to put it into quadratic formula and i got 10+-4√10

Answer 8

@satellite73

Answer 9

ok i think i know what the mistake would be

Answer 10

you get
\[a=1,b=-20,c=20\] and
\[x=\frac{20\pm\sqrt{20^2-4\times 20}}{2}\] as a first step

Answer 11

gives
\[\frac{20\pm\sqrt{400-80}}{2}=\frac{20\pm\sqrt{320}}{2}\]

Answer 12

now
\[\sqrt{320}=8\sqrt{5}\] giving
\[\frac{20\pm8\sqrt{5}}{2}=10\pm4\sqrt{5}\]

Answer 13

okay that makes sense!!! Thank you soooo much!!!! :D