Question

factorise 17x"+32x-20=0

Answer 1

what is the exponent of the first x ?

Answer 2

\[17x ^{2}\]

Answer 3

the original question is:
solve these simultaneous equations
\[4x+4=y\]
\[x ^{2}+y ^{2}=36\]
and so far i have got to:
\[17x^{2}+32x-20\]

Answer 4

\[ax^2+bx+c=0\]\[x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]\[(x-x_1)(x-x_2)=0\]

Answer 5

?

Answer 6

apply the quadratic formula

Answer 7

ahhhh i see

Answer 8

\[17x^{2}+32x-20=0\]\[a=17\\b=32\\c=-20\]

Answer 9

yup im with you now, thanks

Answer 10

\[\frac{ -32+\sqrt{2384} }{ 34 }\]
am i right so far?

Answer 11

well almost

\[x_{1.2}=\frac{ -32\pm\sqrt{2384} }{ 34 }\](you need plus and minus, because there are two roots)

Answer 12

ah yup, thanks alot, got it now :)

Answer 13

so you can only simplify the sqrt a little bit

Answer 14

[the solutions are not Very simple ]

Answer 15

(but that is mainly because there are not many lines that intersect circles at 'nice' points )

Answer 16

yeah, the solutions are like -5.508967349....

Answer 17

i would leave √149 in , without approximating