Question

I need help with finding the intercepts of these equations y=X^2(sqrt( 25-X^2) and y=3(2- sqrt (x))/over x

Answer 1

you want where the equations intersect?
or do you really want the intercepts of each?

Answer 2

i want like x intercepts and y and how you re-arrange the equation

Answer 3

to find x-intercept(s), set y=0 and solve for x. to find y-intercept(s), set x=0 and solve for y

Answer 4

so for example:
we have \[y=x^2\sqrt{25-x^2}\].
to find x-intercepts set y=0
and solve for x.
\[0=x^2\sqrt{25-x^2}\]

Answer 5

\[x^2=0, \sqrt{25-x^2}=0\]

Answer 6

\[x=0, x=\pm 5\]

Answer 7

you have 3 x-intercetps
(0,0)
(5,0)
(-5,0)

Answer 8

oooh can you pls do the next one the square roots and division sign confuse m when settin them = to 0

Answer 9

now to find the y-intercept set x=0 and solve for y
\[y=0^2\sqrt{25-0^2}=0\sqrt{25}=0\]

so we have y-intercept is (0,0)
but could have prevented doing this step since we already found the y-intercept above

Answer 10

for the other equation?

Answer 11

oops one second

Answer 12

to find y-intercepts set x=0but what happens when you plug 0 in where x is?

Answer 13

you mean y = 0 to find x intercepts?

Answer 14

the square root disapear?

Answer 15

don't you have x in the denominator?

Answer 16

oh ya

Answer 17

so the function is undefined when x=0
so no y-intercepts

Answer 18

now to find x-intercepts, set y=0 and solve for x

Answer 19

i c, can you showme steps when setting 6-3(squrt x)=0

Answer 20

like how you move the 3 and so on

Answer 21

a fraction is only zero when the stop is zero
so we are looking at solving
\[0=3(2-\sqrt{x})\]

Answer 22

divide both sides by 3

Answer 23

then add square root of x on both sides

Answer 24

and then square both sides

Answer 25

oooh thanks can you show sqrt part so i can c visuallysrory

Answer 26

then show x= and x= so i can check

Answer 27

show me what you think i just asked you to do and i will be right back
i have to get to ready to go to sleep

Answer 28

ok so 3=0 and (2-squrtX=0?

Answer 29

ok so 3=0 and (2-squrtX=0?

Answer 30

well 3 is not equal to 0

so we have
\[2-\sqrt{x}=0\]
add \[\sqrt{x}\] on both sides

Answer 31

then square both sides

Answer 32

oh could u also have subtracted 2?