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  • Identical expressions

  • x*(two . twenty-five / two)^ four *(one - zero . twenty-five / two . twenty-five *x^ two)^ four = zero . four hundred and seven
  • x multiply by (2.25 divide by 2) to the power of 4 multiply by (1 minus 0.25 divide by 2.25 multiply by x squared ) to the power of 4 equally 0.407
  • x multiply by (two . twenty minus five divide by two) to the power of four multiply by (one minus zero . twenty minus five divide by two . twenty minus five multiply by x to the power of two) to the power of four equally zero . four hundred and seven
  • x*(2.25/2)4*(1-0.25/2.25*x2)4=0.407
  • x*2.25/24*1-0.25/2.25*x24=0.407
  • x*(2.25/2)⁴*(1-0.25/2.25*x²)⁴=0.407
  • x*(2.25/2) to the power of 4*(1-0.25/2.25*x to the power of 2) to the power of 4=0.407
  • x(2.25/2)^4(1-0.25/2.25x^2)^4=0.407
  • x(2.25/2)4(1-0.25/2.25x2)4=0.407
  • x2.25/241-0.25/2.25x24=0.407
  • x2.25/2^41-0.25/2.25x^2^4=0.407
  • x*(2.25/2)^4*(1-0.25/2.25*x^2)^4=O.407
  • x*(2.25 divide by 2)^4*(1-0.25 divide by 2.25*x^2)^4=0.407

  • Similar expressions

  • x*(2.25/2)^4*(1+0.25/2.25*x^2)^4=0.407

x*(2.25/2)^4*(1-0.25/2.25*x^2)^4=0.407 equation

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Numerical solution:

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The solution

You have entered [src] 
       4               4       
  / 9 \  /      1    2\    407 
x*|---| *|1 - -----*x |  = ----
  \4*2/  \    4*9/4   /    1000
$$x \left(\frac{9}{2 \cdot 4}\right)^{4} \left(- \frac{1}{\frac{9}{4} \cdot 4} x^{2} + 1\right)^{4} = \frac{407}{1000}$$
Simplify
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
0.261989370809073 + 1.88285088498538 + 3.68924981464091 + -3.54797884837375 - 0.448254513354825*I + -3.54797884837375 + 0.448254513354825*I + -2.50854347149998 - 0.757788572988523*I + -2.50854347149998 + 0.757788572988523*I + 3.13947728465604 - 0.757793697424674*I + 3.13947728465604 + 0.757793697424674*I
$$\left(\left(3.13947728465604 - 0.757793697424674 i\right) + \left(\left(\left(-2.50854347149998 - 0.757788572988523 i\right) + \left(\left(\left(\left(0.261989370809073 + 1.88285088498538\right) + 3.68924981464091\right) + \left(-3.54797884837375 - 0.448254513354825 i\right)\right) + \left(-3.54797884837375 + 0.448254513354825 i\right)\right)\right) + \left(-2.50854347149998 + 0.757788572988523 i\right)\right)\right) + \left(3.13947728465604 + 0.757793697424674 i\right)$$ 
=
0
$$0$$ 
product
0.261989370809073*1.88285088498538*3.68924981464091*(-3.54797884837375 - 0.448254513354825*I)*(-3.54797884837375 + 0.448254513354825*I)*(-2.50854347149998 - 0.757788572988523*I)*(-2.50854347149998 + 0.757788572988523*I)*(3.13947728465604 - 0.757793697424674*I)*(3.13947728465604 + 0.757793697424674*I)
$$3.68924981464091 \cdot 0.261989370809073 \cdot 1.88285088498538 \left(-3.54797884837375 - 0.448254513354825 i\right) \left(-3.54797884837375 + 0.448254513354825 i\right) \left(-2.50854347149998 - 0.757788572988523 i\right) \left(-2.50854347149998 + 0.757788572988523 i\right) \left(3.13947728465604 - 0.757793697424674 i\right) \left(3.13947728465604 + 0.757793697424674 i\right)$$ 
=
1667.072 + 2.8421709430404e-14*I
$$1667.072 + 2.8421709430404 \cdot 10^{-14} i$$ 
1667.072 + 2.8421709430404e-14*i
Rapid solution [src] 
x1 = 0.261989370809073
$$x_{1} = 0.261989370809073$$ 
x2 = 1.88285088498538
$$x_{2} = 1.88285088498538$$ 
x3 = 3.68924981464091
$$x_{3} = 3.68924981464091$$ 
x4 = -3.54797884837375 - 0.448254513354825*I
$$x_{4} = -3.54797884837375 - 0.448254513354825 i$$ 
x5 = -3.54797884837375 + 0.448254513354825*I
$$x_{5} = -3.54797884837375 + 0.448254513354825 i$$ 
x6 = -2.50854347149998 - 0.757788572988523*I
$$x_{6} = -2.50854347149998 - 0.757788572988523 i$$ 
x7 = -2.50854347149998 + 0.757788572988523*I
$$x_{7} = -2.50854347149998 + 0.757788572988523 i$$ 
x8 = 3.13947728465604 - 0.757793697424674*I
$$x_{8} = 3.13947728465604 - 0.757793697424674 i$$ 
x9 = 3.13947728465604 + 0.757793697424674*I
$$x_{9} = 3.13947728465604 + 0.757793697424674 i$$ 
x9 = 3.13947728465604 + 0.757793697424674*i
Numerical answer [src] 
x1 = -2.50854347149998 + 0.757788572988523*i
x2 = -3.54797884837375 + 0.448254513354825*i
x3 = -2.50854347149998 - 0.757788572988523*i
x4 = 3.13947728465604 + 0.757793697424674*i
x5 = 3.13947728465604 - 0.757793697424674*i
x6 = 3.68924981464091
x7 = 1.88285088498538
x8 = 0.261989370809073
x9 = -3.54797884837375 - 0.448254513354825*i
x9 = -3.54797884837375 - 0.448254513354825*i
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