SOLUTION: I really need help with this question, I'm not understanding it at all, the answer apparently is (-3/2i , 15/4i), (3/2i, -15/4i) Solve this System: 9x^2-4

Question 290479: I really need help with this question, I'm not understanding it at all, the answer apparently is (-3/2i , 15/4i), (3/2i, -15/4i) Solve this System: 9x^2-4y^2=36
5x+2y=0
Found 3 solutions by richwmiller, subudear, ankor@dixie-net.com:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Everyone here needs help. You don't need to remind us.
No one understands the problems or they wouldn't be here. Don't remind us.
Correct English: I do not understand it at all.
Incorrect English: I am not understanding it at all. We cannot say "am not understanding". Some verbs just do not use that form at all.

Answer by subudear(62)   (Show Source): You can put this solution on YOUR website!
Given
9x^2-4y^2=36
it can be written as
(3x)^2-(2y)^2=36
or
(3x-2y)(3x+2y)=36 because a^2-b^2=(a-b)(a+b)
now also it is given that 5x + 2y = 0 or 2y = -5x
replace this vlaue in the above equation we get
(3x + 5x)(3x - 5x)=36
-16x^2 =36
x = (3/2)i, -(3/2)i
putting values of x in 2y = -5x we get
(-3/2i , 15/4i), (3/2i, -15/4i)
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve this System:
9x^2 - 4y^2 = 36
5x + 2y = 0
:
2y = -5x
y = -x
or
y = -2.5x
:
Replace y with -2.5x in the 1st equation
9x^2 - 4(-2.5x)^2 = 36
9x^2 - 4(6.25x^2) = 36
9x^2 - 25x^2 = 36
-16x^2 = 36
16x^2 = -36
4x = +/-
4x = +6i
x = i
x = i
and
4x = -6i
x = -i
x = -i
:
Find y using the 2nd equation when x =i
5(i) + 2y = 0
i + 2y = 0
2y = -i
y = -i
and find y when x = -i
5(i) + 2y = 0
i + 2y = 0
2y = +i
y = +i
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