121= 25x+12/x+3

Question

121= 25x+12/x+3

aravindg · Answer

multiply by x on both sides

whpalmer4 · Answer

Multiply both sides by x to get $$121x = 25x^2+12+3x$$  Now solve by your favorite method.

aravindg · Answer

aha ! a quadratic ;)

anonymous · Answer

Sorry I'm so confused I keep getting really weird answers

aravindg · Answer

please show ur workking

anonymous · Answer

Well I subtracted 121x to get 25x^2+12-118x, then I did the quadratic formula and got -26.229

whpalmer4 · Answer

They are going to be "weird" answers (in other words, more like real-life answers!) but not the weird answer you got :-)

whpalmer4 · Answer

$$25x^2-121x+3x+12=0$$
$$25x^2-118x+12=0$$
a=25, b=-118, c= 12

$$x=\frac{-(-118)\pm\sqrt{(-118)^2-4(25)(12)}}{2(25)}=\frac{118\pm{\sqrt{12724}}}{50}$$
and that can have a 4 pulled out of the radical to make $$\frac{118\pm 2\sqrt{3181}}{50}=\frac{59\pm\sqrt{3181}}{25}$$

whpalmer4 · Answer

x=0.104,x=4.62 (both approximate)

anonymous · Answer

Thanks so much!! I must have been putting the numbers in wrong or something. :)

whpalmer4 · Answer

Negative numbers are the devil's handiwork, easy to make mistakes :-)