(120/(y^2 - 12*y + 72))^2 + y^2 = 400

asked by guest
on Jan 25, 2025 at 6:18 am



You asked:

Solve the equation (120y2−12y+72)2+y2=400{\left( \frac{120}{{y}^{2} - 12 y + 72} \right)}^{2} + {y}^{2} = 400 for the variable yy.

MathBot Answer:

The complex solutions are: {2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,0),2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,1),2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,2),2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,3),2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,4),2CRootOf⁡(x6−12x5−28x4+984x3−6876x2+21600x−32175,5)}∖{6−6i,6+6i}\left\{2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 0\right)}, 2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 1\right)}, 2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 2\right)}, 2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 3\right)}, 2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 4\right)}, 2 \operatorname{CRootOf} {\left(x^{6} - 12 x^{5} - 28 x^{4} + 984 x^{3} - 6876 x^{2} + 21600 x - 32175, 5\right)}\right\} \setminus \left\{6 - 6 i, 6 + 6 i\right\}

ii is the imaginary unit, defined as i2=−1i^2 = -1.

+ Submit Question