What is x^2+y^2+4x-6y-12=0,x^2+y^2-8x+6y+12=0 ?

The solution to x^2+y^2+4x-6y-12=0,x^2+y^2-8x+6y+12=0 is

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Popular >

x^2+y^2+4x-6y-12=0,x^2+y^2-8x+6y+12=0

Solution

x^{2} + y^{2} + 4 x - 6 y - 12 = 0, x^{2} + y^{2} - 8 x + 6 y + 12 = 0

Solution

(x = 1, x = 2, y = - 1 y = 0)

Solution steps

[x^{2} + y^{2} + 4 x - 6 y - 12 = 0 x^{2} + y^{2} - 8 x + 6 y + 12 = 0]

Isolate

y

for

x^{2} + y^{2} + 4 x - 6 y - 12 = 0 : y = 3 + - x^{2} - 4 x + 21, y = 3 - - x^{2} - 4 x + 21

Plug the solutions

y = 3 + - x^{2} - 4 x + 21, y = 3 - - x^{2} - 4 x + 21

into

x^{2} + y^{2} - 8 x + 6 y + 12 = 0

For

x^{2} + y^{2} - 8 x + 6 y + 12 = 0

, subsitute

y

with

3 + - x^{2} - 4 x + 21 :

No Solution for

x \in R

For

x^{2} + y^{2} - 8 x + 6 y + 12 = 0

, subsitute

y

with

3 - - x^{2} - 4 x + 21 : x = 1, x = 2

Plug the solutions

x = 1, x = 2

into

x^{2} + y^{2} + 4 x - 6 y - 12 = 0

For

x^{2} + y^{2} + 4 x - 6 y - 12 = 0

, subsitute

x

with

1 : y = 7, y = - 1

For

x^{2} + y^{2} + 4 x - 6 y - 12 = 0

, subsitute

x

with

2 : y = 6, y = 0

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x^{2} + y^{2} + 4 x - 6 y - 12 = 0, x^{2} + y^{2} - 8 x + 6 y + 12 = 0

are

(x = 1, x = 2, y = - 1 y = 0)

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x + y = 1, y - 15 = - x^{2} + 4 x

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y^{2} = 9 x, x - y + 2 = 0

7x+2y+5=0,-7x-2y+70=0

7 x + 2 y + 5 = 0, - 7 x - 2 y + 70 = 0

0.8 m/(s^2)s=2.5u,a=9

0.8 \frac{m}{s ^{2}} s = 2.5 u, a = 9

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Frequently Asked Questions (FAQ)

What is x^2+y^2+4x-6y-12=0,x^2+y^2-8x+6y+12=0 ?
The solution to x^2+y^2+4x-6y-12=0,x^2+y^2-8x+6y+12=0 is