Mister Exam
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How to use it?
- Equation:
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Equation 16-3x^2+14x=5x-14
- Equation x^4-26x^2+25=0
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Equation x^4-8x^2+16=0
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Equation x^4+x^3-4x^2+x+1=0
- Express {x} in terms of y where:
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
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Identical expressions
- x^ four +x^ three -4x^ two +x+ one = zero
- x to the power of 4 plus x cubed minus 4x squared plus x plus 1 equally 0
- x to the power of four plus x to the power of three minus 4x to the power of two plus x plus one equally zero
- x4+x3-4x2+x+1=0
- x⁴+x³-4x²+x+1=0
- x to the power of 4+x to the power of 3-4x to the power of 2+x+1=0
- x^4+x^3-4x^2+x+1=O
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Similar expressions
- x^4+x^3-4x^2+x-1=0
- x^4-x^3-4x^2+x+1=0
- x^4+x^3+4x^2+x+1=0
- x^4+x^3-4x^2-x+1=0
x^4+x^3-4x^2+x+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 3 2 x + x - 4*x + x + 1 = 0
$$\left(x + \left(- 4 x^{2} + \left(x^{4} + x^{3}\right)\right)\right) + 1 = 0$$
Rapid solution
[src]
x1 = 1
$$x_{1} = 1$$
___
3 \/ 5
x2 = - - - -----
2 2
$$x_{2} = - \frac{3}{2} - \frac{\sqrt{5}}{2}$$
___
3 \/ 5
x3 = - - + -----
2 2
$$x_{3} = - \frac{3}{2} + \frac{\sqrt{5}}{2}$$
x3 = -3/2 + sqrt(5)/2
Sum and product of roots
[src]
sum
___ ___
3 \/ 5 3 \/ 5
1 + - - - ----- + - - + -----
2 2 2 2
$$\left(\left(- \frac{3}{2} - \frac{\sqrt{5}}{2}\right) + 1\right) + \left(- \frac{3}{2} + \frac{\sqrt{5}}{2}\right)$$
=
-2
$$-2$$
product
/ ___\ / ___\ | 3 \/ 5 | | 3 \/ 5 | |- - - -----|*|- - + -----| \ 2 2 / \ 2 2 /
$$\left(- \frac{3}{2} - \frac{\sqrt{5}}{2}\right) \left(- \frac{3}{2} + \frac{\sqrt{5}}{2}\right)$$
=
1
$$1$$
1
Numerical answer
[src]
x1 = 1.0
x2 = -2.61803398874989
x3 = -0.381966011250105
x3 = -0.381966011250105
The graph