Question

find the point where y=x-2x^2 and y=x^3 + 2x

Answer 1

point where the equations are tangent:) 2nd one is \[y=x ^{3}+2x\]

Answer 2

Tangents are straight lines. But These are not the equation of lines

Answer 3

i think we find the derivative?

Answer 4

its where the graphs are tengent r thy touch

Answer 5

a common point on both?

Answer 6

A common point on both the equations can be found by equating both the equations.

Answer 7

how do u equate thm?

Answer 8

common point:
x-2x^2=x^3+2x
x^3+2x^2-x=0
x(x^2+2x-1)=0

Answer 9

x-2x^2 = x^3 + 2x
you will get x.
put it back in either eqn, you will get y

Answer 10

when they hav common point:
(x1, y1)=(x2 , y2)
isn't it?

Answer 11

yes

Answer 12

y2=y1 so x2=x1

Answer 13

ohh

Answer 14

def. of function

Answer 15

i think i got it! thank u soo much!:)

Answer 16

:)