What is 3x^2+18x+2lx=0,12y+2ly=0,x^2+y^2=9 ?

The solution to 3x^2+18x+2lx=0,12y+2ly=0,x^2+y^2=9 is

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3x^2+18x+2lx=0,12y+2ly=0,x^2+y^2=9

3 x^{2} + 18 x + 2 l x = 0, 12 y + 2 l y = 0, x^{2} + y^{2} = 9

(x = 3, y = 0, l = - \frac{27}{2})

Solution steps

3 x^{2} + 18 x + 2 l x = 0 12 y + 2 l y = 0 x^{2} + y^{2} = 9

Isolate

l

for

3 x^{2} + 18 x + 2 l x = 0 : l = - \frac{3 ( x + 6 )}{2}; x \neq = 0

Plug

l = - \frac{3 ( x + 6 )}{2}

into

12 y + 2 l y = 0

12 y + 2 (- \frac{3 ( x + 6 )}{2}) y = 0

Simplify

- 3 x y - 6 y = 0

Solve the system of equations:

- 3 x y - 6 y = 0, x^{2} + y^{2} = 9 : x = 3, x = - 3, x = - 2, x = - 2, y = 0 y = 0 y = 5 y = - 5

Verify solutions by plugging them into the original equations

Therefore, the final solution for

3 x^{2} + 18 x + 2 l x = 0, 12 y + 2 l y = 0, x^{2} + y^{2} = 9

(x = 3, y = 0, l = - \frac{27}{2})

\frac{0.01478 \cdot 2000 \cdot x ^{2}}{2 \cdot 9.81 \cdot 0.16} = 35

c^{2} = 1^{2} + x^{2}

10 x^{2} + 37 x + 7 = 0

- 4 = x^{2} - x - 6

a^{2} - 6 a - 27 = 0

What is 3x^2+18x+2lx=0,12y+2ly=0,x^2+y^2=9 ?
The solution to 3x^2+18x+2lx=0,12y+2ly=0,x^2+y^2=9 is