Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation x=(4*a^4+1*a^4-104)/4
- Equation x³-2x²+x=0
- Equation x^(log(x,1/3)+4)=1/243
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Equation log(3)(-cosx)+log1/3(-sinx)=-1/2
- Express {x} in terms of y where:
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
- 10*x-1*y=10
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Identical expressions
- x=(four *a^ four + one *a^ four - one hundred and four)/ four
- x equally (4 multiply by a to the power of 4 plus 1 multiply by a to the power of 4 minus 104) divide by 4
- x equally (four multiply by a to the power of four plus one multiply by a to the power of four minus one hundred and four) divide by four
- x=(4*a4+1*a4-104)/4
- x=4*a4+1*a4-104/4
- x=(4*a⁴+1*a⁴-104)/4
- x=(4a^4+1a^4-104)/4
- x=(4a4+1a4-104)/4
- x=4a4+1a4-104/4
- x=4a^4+1a^4-104/4
- x=(4*a^4+1*a^4-104) divide by 4
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Similar expressions
- x=(4*a^4-1*a^4-104)/4
- x=(4*a^4+1*a^4+104)/4
x=(4*a^4+1*a^4-104)/4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 4
4*a + a - 104
x = ---------------
4
$$x = \frac{\left(a^{4} + 4 a^{4}\right) - 104}{4}$$
Detail solution
Given the linear equation:
Expand brackets in the right part
Looking for similar summands in the right part:
We get the answer: x = -26 + 5*a^4/4
x = (4*a^4+1*a^4-104)/4
Expand brackets in the right part
x = 4*a/4+4/4+1*a/4+4/4-104/4
Looking for similar summands in the right part:
x = -26 + 5*a^4/4
We get the answer: x = -26 + 5*a^4/4
The graph
Rapid solution
[src]
4 4 2 2
5*im (a) 5*re (a) / 3 3 \ 15*im (a)*re (a)
x1 = -26 + -------- + -------- + I*\- 5*im (a)*re(a) + 5*re (a)*im(a)/ - ----------------
4 4 2
$$x_{1} = i \left(5 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 5 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) + \frac{5 \left(\operatorname{re}{\left(a\right)}\right)^{4}}{4} - \frac{15 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{5 \left(\operatorname{im}{\left(a\right)}\right)^{4}}{4} - 26$$
x1 = i*(5*re(a)^3*im(a) - 5*re(a)*im(a)^3) + 5*re(a)^4/4 - 15*re(a)^2*im(a)^2/2 + 5*im(a)^4/4 - 26
Sum and product of roots
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sum
4 4 2 2
5*im (a) 5*re (a) / 3 3 \ 15*im (a)*re (a)
-26 + -------- + -------- + I*\- 5*im (a)*re(a) + 5*re (a)*im(a)/ - ----------------
4 4 2
$$i \left(5 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 5 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) + \frac{5 \left(\operatorname{re}{\left(a\right)}\right)^{4}}{4} - \frac{15 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{5 \left(\operatorname{im}{\left(a\right)}\right)^{4}}{4} - 26$$
=
4 4 2 2
5*im (a) 5*re (a) / 3 3 \ 15*im (a)*re (a)
-26 + -------- + -------- + I*\- 5*im (a)*re(a) + 5*re (a)*im(a)/ - ----------------
4 4 2
$$i \left(5 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 5 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) + \frac{5 \left(\operatorname{re}{\left(a\right)}\right)^{4}}{4} - \frac{15 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{5 \left(\operatorname{im}{\left(a\right)}\right)^{4}}{4} - 26$$
product
4 4 2 2
5*im (a) 5*re (a) / 3 3 \ 15*im (a)*re (a)
-26 + -------- + -------- + I*\- 5*im (a)*re(a) + 5*re (a)*im(a)/ - ----------------
4 4 2
$$i \left(5 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 5 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) + \frac{5 \left(\operatorname{re}{\left(a\right)}\right)^{4}}{4} - \frac{15 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{5 \left(\operatorname{im}{\left(a\right)}\right)^{4}}{4} - 26$$
=
4 4 2 2
5*im (a) 5*re (a) 15*im (a)*re (a) / 2 2 \
-26 + -------- + -------- - ---------------- + 5*I*\re (a) - im (a)/*im(a)*re(a)
4 4 2
$$5 i \left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2}\right) \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + \frac{5 \left(\operatorname{re}{\left(a\right)}\right)^{4}}{4} - \frac{15 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{5 \left(\operatorname{im}{\left(a\right)}\right)^{4}}{4} - 26$$
-26 + 5*im(a)^4/4 + 5*re(a)^4/4 - 15*im(a)^2*re(a)^2/2 + 5*i*(re(a)^2 - im(a)^2)*im(a)*re(a)