Mister Exam

Other calculators

10^-6=101325*x^3/(((1-x)^2*(x+2))) equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
                    3    
            101325*x     
1.0e-6 = ----------------
                2        
         (1 - x) *(x + 2)
$$1.0 \cdot 10^{-6} = \frac{101325 x^{3}}{\left(1 - x\right)^{2} \left(x + 2\right)}$$
The graph
Rapid solution [src]
x1 = 0.000270216857490611
$$x_{1} = 0.000270216857490611$$
x2 = -0.000135108428745305 - 0.0002340779149174*I
$$x_{2} = -0.000135108428745305 - 0.0002340779149174 i$$
x3 = -0.000135108428745305 + 0.0002340779149174*I
$$x_{3} = -0.000135108428745305 + 0.0002340779149174 i$$
x3 = -0.000135108428745305 + 0.0002340779149174*i
Sum and product of roots [src]
sum
0.000270216857490611 + -0.000135108428745305 - 0.0002340779149174*I + -0.000135108428745305 + 0.0002340779149174*I
$$\left(0.000270216857490611 + \left(-0.000135108428745305 - 0.0002340779149174 i\right)\right) + \left(-0.000135108428745305 + 0.0002340779149174 i\right)$$
=
0
$$0$$
product
0.000270216857490611*(-0.000135108428745305 - 0.0002340779149174*I)*(-0.000135108428745305 + 0.0002340779149174*I)
$$0.000270216857490611 \left(-0.000135108428745305 - 0.0002340779149174 i\right) \left(-0.000135108428745305 + 0.0002340779149174 i\right)$$
=
1.97384653345151e-11
$$1.97384653345151 \cdot 10^{-11}$$
1.97384653345151e-11
Numerical answer [src]
x1 = 0.000270216857490611
x2 = -0.000135108428745305 - 0.0002340779149174*i
x3 = -0.000135108428745305 + 0.0002340779149174*i
x3 = -0.000135108428745305 + 0.0002340779149174*i