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  • Equation:
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  • Equation z^2+z+2=0 Equation z^2+z+2=0
  • Equation 3*x^2+6*x+3=0 Equation 3*x^2+6*x+3=0
  • Equation -4x+3=2x Equation -4x+3=2x
  • Express {x} in terms of y where:
  • -6*x+16*y=3
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  • Identical expressions

  • (two four 0x^4+ twenty-five *x^ two + seven hundred and twenty *X+ five thousand, one hundred and eighty-four)=(one hundred and twenty thousand * twenty *x^ three)^2
  • (240x to the power of 4 plus 25 multiply by x squared plus 720 multiply by X plus 5184) equally (120000 multiply by 20 multiply by x cubed ) squared
  • (two four 0x to the power of 4 plus twenty minus five multiply by x to the power of two plus seven hundred and twenty multiply by X plus five thousand, one hundred and eighty minus four) equally (one hundred and twenty thousand multiply by twenty multiply by x to the power of three) squared
  • (240x4+25*x2+720*X+5184)=(120000*20*x3)2
  • 240x4+25*x2+720*X+5184=120000*20*x32
  • (240x⁴+25*x²+720*X+5184)=(120000*20*x³)²
  • (240x to the power of 4+25*x to the power of 2+720*X+5184)=(120000*20*x to the power of 3) to the power of 2
  • (240x^4+25x^2+720X+5184)=(12000020x^3)^2
  • (240x4+25x2+720X+5184)=(12000020x3)2
  • 240x4+25x2+720X+5184=12000020x32
  • 240x^4+25x^2+720X+5184=12000020x^3^2
  • Similar expressions

  • (240x^4-25*x^2+720*X+5184)=(120000*20*x^3)^2
  • (240x^4+25*x^2-720*X+5184)=(120000*20*x^3)^2
  • (240x^4+25*x^2+720*X-5184)=(120000*20*x^3)^2

(240x^4+25*x^2+720*X+5184)=(120000*20*x^3)^2 equation

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Numerical solution:

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The solution

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                                            2
     4       2                  /         3\ 
240*x  + 25*x  + 720*x + 5184 = \2400000*x / 
$$\left(720 x + \left(240 x^{4} + 25 x^{2}\right)\right) + 5184 = \left(2400000 x^{3}\right)^{2}$$
Sum and product of roots [src]
sum
-0.0310499759955779 + 0.0310946745704904 + -0.0155473372852452 - 0.0268900676052861*I + -0.0155473372852452 + 0.0268900676052861*I + 0.015524987997789 - 0.0269287777200243*I + 0.015524987997789 + 0.0269287777200243*I
$$\left(\left(0.015524987997789 - 0.0269287777200243 i\right) + \left(\left(\left(-0.0310499759955779 + 0.0310946745704904\right) + \left(-0.0155473372852452 - 0.0268900676052861 i\right)\right) + \left(-0.0155473372852452 + 0.0268900676052861 i\right)\right)\right) + \left(0.015524987997789 + 0.0269287777200243 i\right)$$
=
0
$$0$$
product
-0.0310499759955779*0.0310946745704904*(-0.0155473372852452 - 0.0268900676052861*I)*(-0.0155473372852452 + 0.0268900676052861*I)*(0.015524987997789 - 0.0269287777200243*I)*(0.015524987997789 + 0.0269287777200243*I)
$$- 0.0310499759955779 \cdot 0.0310946745704904 \left(-0.0155473372852452 - 0.0268900676052861 i\right) \left(-0.0155473372852452 + 0.0268900676052861 i\right) \left(0.015524987997789 - 0.0269287777200243 i\right) \left(0.015524987997789 + 0.0269287777200243 i\right)$$
=
-9.00000000000000e-10
$$-9.0 \cdot 10^{-10}$$
-9.00000000000000e-10
Rapid solution [src]
x1 = -0.0310499759955779
$$x_{1} = -0.0310499759955779$$
x2 = 0.0310946745704904
$$x_{2} = 0.0310946745704904$$
x3 = -0.0155473372852452 - 0.0268900676052861*I
$$x_{3} = -0.0155473372852452 - 0.0268900676052861 i$$
x4 = -0.0155473372852452 + 0.0268900676052861*I
$$x_{4} = -0.0155473372852452 + 0.0268900676052861 i$$
x5 = 0.015524987997789 - 0.0269287777200243*I
$$x_{5} = 0.015524987997789 - 0.0269287777200243 i$$
x6 = 0.015524987997789 + 0.0269287777200243*I
$$x_{6} = 0.015524987997789 + 0.0269287777200243 i$$
x6 = 0.015524987997789 + 0.0269287777200243*i
Numerical answer [src]
x1 = 0.0310946745704904
x2 = -0.0155473372852452 + 0.0268900676052861*i
x3 = -0.0310499759955779
x4 = 0.015524987997789 - 0.0269287777200243*i
x5 = -0.0155473372852452 - 0.0268900676052861*i
x6 = 0.015524987997789 + 0.0269287777200243*i
x6 = 0.015524987997789 + 0.0269287777200243*i