Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+9=(x+9)^2
-
Equation cos(x)=-1
-
Equation 3*x+50=77
-
Equation 5-2(x-1)=4-x
- Express {x} in terms of y where:
- 10*x+5*y=-17
- 14*x+16*y=-3
- -19*x+1*y=0
- 10*x+18*y=6
-
Identical expressions
- r+ one /(r+ one /(r+ two /r)+ one /(two *r))+ one /(three *r)= two hundred and nineteen
- r plus 1 divide by (r plus 1 divide by (r plus 2 divide by r) plus 1 divide by (2 multiply by r)) plus 1 divide by (3 multiply by r) equally 219
- r plus one divide by (r plus one divide by (r plus two divide by r) plus one divide by (two multiply by r)) plus one divide by (three multiply by r) equally two hundred and nineteen
- r+1/(r+1/(r+2/r)+1/(2r))+1/(3r)=219
- r+1/r+1/r+2/r+1/2r+1/3r=219
- r+1 divide by (r+1 divide by (r+2 divide by r)+1 divide by (2*r))+1 divide by (3*r)=219
-
Similar expressions
- r+1/(r-1/(r+2/r)+1/(2*r))+1/(3*r)=219
- r+1/(r+1/(r+2/r)-1/(2*r))+1/(3*r)=219
- 2^x=(16^2)*(8^3)/(2^19)
- r+1/(r+1/(r-2/r)+1/(2*r))+1/(3*r)=219
- r-1/(r+1/(r+2/r)+1/(2*r))+1/(3*r)=219
- r+1/(r+1/(r+2/r)+1/(2*r))-1/(3*r)=219
- 45-x=2*19
r+1/(r+1/(r+2/r)+1/(2*r))+1/(3*r)=219 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1 1
r + --------------- + --- = 219
1 1 3*r
r + ----- + ---
2 2*r
r + -
r
$$\left(r + \frac{1}{\left(r + \frac{1}{r + \frac{2}{r}}\right) + \frac{1}{2 r}}\right) + \frac{1}{3 r} = 219$$
Sum and product of roots
[src]
sum
0.00152210175197424 + 218.993911693491 + 0.00134029025983626 - 0.56023018123392*I + 0.00134029025983626 + 0.56023018123392*I + 0.000942812118758582 - 1.78498143667341*I + 0.000942812118758582 + 1.78498143667341*I
$$\left(\left(0.000942812118758582 - 1.78498143667341 i\right) + \left(\left(\left(0.00152210175197424 + 218.993911693491\right) + \left(0.00134029025983626 - 0.56023018123392 i\right)\right) + \left(0.00134029025983626 + 0.56023018123392 i\right)\right)\right) + \left(0.000942812118758582 + 1.78498143667341 i\right)$$
=
219.000000000000
$$219.0$$
product
0.00152210175197424*218.993911693491*(0.00134029025983626 - 0.56023018123392*I)*(0.00134029025983626 + 0.56023018123392*I)*(0.000942812118758582 - 1.78498143667341*I)*(0.000942812118758582 + 1.78498143667341*I)
$$0.00152210175197424 \cdot 218.993911693491 \left(0.00134029025983626 - 0.56023018123392 i\right) \left(0.00134029025983626 + 0.56023018123392 i\right) \left(0.000942812118758582 - 1.78498143667341 i\right) \left(0.000942812118758582 + 1.78498143667341 i\right)$$
=
0.333333333333333
$$0.333333333333333$$
0.333333333333333
Rapid solution
[src]
r1 = 0.00152210175197424
$$r_{1} = 0.00152210175197424$$
r2 = 218.993911693491
$$r_{2} = 218.993911693491$$
r3 = 0.00134029025983626 - 0.56023018123392*I
$$r_{3} = 0.00134029025983626 - 0.56023018123392 i$$
r4 = 0.00134029025983626 + 0.56023018123392*I
$$r_{4} = 0.00134029025983626 + 0.56023018123392 i$$
r5 = 0.000942812118758582 - 1.78498143667341*I
$$r_{5} = 0.000942812118758582 - 1.78498143667341 i$$
r6 = 0.000942812118758582 + 1.78498143667341*I
$$r_{6} = 0.000942812118758582 + 1.78498143667341 i$$
r6 = 0.000942812118758582 + 1.78498143667341*i
Numerical answer
[src]
r1 = 0.00152210175197424
r2 = 218.993911693491
r3 = 0.00134029025983626 - 0.56023018123392*i
r4 = 0.00134029025983626 + 0.56023018123392*i
r5 = 0.000942812118758582 - 1.78498143667341*i
r6 = 0.000942812118758582 + 1.78498143667341*i
r6 = 0.000942812118758582 + 1.78498143667341*i