Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation x+y=15
- Equation a^2*x^2-21*a^2+a*x+1=0
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Equation 5-x=4(x-3)
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Equation -(-y+4)+2*y+1=0
- Express {x} in terms of y where:
- -16*x-20*y=-13
- 4*x+5*y=7
- -12*x-2*y=7
- -5*x+7*y=-18
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Identical expressions
- x^ four -15x^ three +46x^ two +6x- fifty-six = zero
- x to the power of 4 minus 15x cubed plus 46x squared plus 6x minus 56 equally 0
- x to the power of four minus 15x to the power of three plus 46x to the power of two plus 6x minus fifty minus six equally zero
- x4-15x3+46x2+6x-56=0
- x⁴-15x³+46x²+6x-56=0
- x to the power of 4-15x to the power of 3+46x to the power of 2+6x-56=0
- x^4-15x^3+46x^2+6x-56=O
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Similar expressions
- x^4-15x^3+46x^2-6x-56=0
- x^4+15x^3+46x^2+6x-56=0
- x^4-15x^3-46x^2+6x-56=0
- x^4-15x^3+46x^2+6x+56=0
x^4-15x^3+46x^2+6x-56=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 3 2 x - 15*x + 46*x + 6*x - 56 = 0
$$\left(6 x + \left(46 x^{2} + \left(x^{4} - 15 x^{3}\right)\right)\right) - 56 = 0$$
Rapid solution
[src]
x1 = -1
$$x_{1} = -1$$
x2 = 4
$$x_{2} = 4$$
____ x3 = 6 - \/ 22
$$x_{3} = 6 - \sqrt{22}$$
____ x4 = 6 + \/ 22
$$x_{4} = \sqrt{22} + 6$$
x4 = sqrt(22) + 6
Sum and product of roots
[src]
sum
____ ____ -1 + 4 + 6 - \/ 22 + 6 + \/ 22
$$\left(\left(6 - \sqrt{22}\right) + \left(-1 + 4\right)\right) + \left(\sqrt{22} + 6\right)$$
=
15
$$15$$
product
/ ____\ / ____\ -4*\6 - \/ 22 /*\6 + \/ 22 /
$$- 4 \left(6 - \sqrt{22}\right) \left(\sqrt{22} + 6\right)$$
=
-56
$$-56$$
-56
Numerical answer
[src]
x1 = -1.0
x2 = 4.0
x3 = 10.6904157598234
x4 = 1.30958424017657
x4 = 1.30958424017657