Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x+5=12
-
Equation -4x+9=-19
-
Equation x^2+20*x+100=0
-
Equation 2x+1-20x+15=6x+4
- Express {x} in terms of y where:
- -19*x+3*y=-13
- -11*x-12*y=16
- 17*x+13*y=3
- -4*x+10*y=-6
-
Identical expressions
- c^ six - ten *c^ four - five *c^ two + fifty = zero
- c to the power of 6 minus 10 multiply by c to the power of 4 minus 5 multiply by c squared plus 50 equally 0
- c to the power of six minus ten multiply by c to the power of four minus five multiply by c to the power of two plus fifty equally zero
- c6-10*c4-5*c2+50=0
- c⁶-10*c⁴-5*c²+50=0
- c to the power of 6-10*c to the power of 4-5*c to the power of 2+50=0
- c^6-10c^4-5c^2+50=0
- c6-10c4-5c2+50=0
- c^6-10*c^4-5*c^2+50=O
-
Similar expressions
- c^6-10*c^4-5*c^2-50=0
- c^6+10*c^4-5*c^2+50=0
- c^6-10*c^4+5*c^2+50=0
c^6-10*c^4-5*c^2+50=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
6 4 2 c - 10*c - 5*c + 50 = 0
$$\left(- 5 c^{2} + \left(c^{6} - 10 c^{4}\right)\right) + 50 = 0$$
Rapid solution
[src]
____ c1 = -\/ 10
$$c_{1} = - \sqrt{10}$$
____ c2 = \/ 10
$$c_{2} = \sqrt{10}$$
4 ___ c3 = -\/ 5
$$c_{3} = - \sqrt[4]{5}$$
4 ___ c4 = \/ 5
$$c_{4} = \sqrt[4]{5}$$
4 ___ c5 = -I*\/ 5
$$c_{5} = - \sqrt[4]{5} i$$
4 ___ c6 = I*\/ 5
$$c_{6} = \sqrt[4]{5} i$$
c6 = 5^(1/4)*i
Sum and product of roots
[src]
sum
____ ____ 4 ___ 4 ___ 4 ___ 4 ___ - \/ 10 + \/ 10 - \/ 5 + \/ 5 - I*\/ 5 + I*\/ 5
$$\left(\left(\left(- \sqrt[4]{5} + \left(- \sqrt{10} + \sqrt{10}\right)\right) + \sqrt[4]{5}\right) - \sqrt[4]{5} i\right) + \sqrt[4]{5} i$$
=
0
$$0$$
product
____ ____ / 4 ___\ 4 ___ / 4 ___\ 4 ___ -\/ 10 *\/ 10 *\-\/ 5 /*\/ 5 *\-I*\/ 5 /*I*\/ 5
$$\sqrt[4]{5} i - \sqrt[4]{5} i \sqrt[4]{5} \cdot - \sqrt[4]{5} \cdot - \sqrt{10} \sqrt{10}$$
=
50
$$50$$
50
Numerical answer
[src]
c1 = 3.16227766016838
c2 = 1.49534878122122
c3 = -1.49534878122122
c4 = 1.49534878122122*i
c5 = -1.49534878122122*i
c6 = -3.16227766016838
c6 = -3.16227766016838