Mister Exam
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How to use it?
- Equation:
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Equation cos(x)=√3/2
- Equation x^2-x-56=0
- Equation f*(x)=3
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Equation x^3=-8
- Express {x} in terms of y where:
- 3*x+10*y=-13
- 14*x+5*y=-18
- -4*x+18*y=-6
- 6*x-14*y=-9
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Identical expressions
- z=x^lny-8x*sqrty^ three ^ four
- z equally x to the power of lny minus 8x multiply by square root of y cubed to the power of 4
- z equally x to the power of lny minus 8x multiply by square root of y to the power of three to the power of four
- z=x^lny-8x*√y^3^4
- z=xlny-8x*sqrty34
- z=x^lny-8x*sqrty³⁴
- z=x to the power of lny-8x*sqrty to the power of 3 to the power of 4
- z=x^lny-8xsqrty^3^4
- z=xlny-8xsqrty34
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Similar expressions
- z=x^lny+8x*sqrty^3^4
z=x^lny-8x*sqrty^3^4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
81
log(y) ___
z = x - 8*x*\/ y
$$z = - 8 x \left(\sqrt{y}\right)^{81} + x^{\log{\left(y \right)}}$$
The graph
Sum and product of roots
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sum
/ 81/2\ / / 81/2\ / log(y)\\ / log(y)\ - 8*re\x*y / + I*\- 8*im\x*y / + im\x // + re\x /
$$i \left(\operatorname{im}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{im}{\left(x y^{\frac{81}{2}}\right)}\right) + \operatorname{re}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{re}{\left(x y^{\frac{81}{2}}\right)}$$
=
/ 81/2\ / / 81/2\ / log(y)\\ / log(y)\ - 8*re\x*y / + I*\- 8*im\x*y / + im\x // + re\x /
$$i \left(\operatorname{im}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{im}{\left(x y^{\frac{81}{2}}\right)}\right) + \operatorname{re}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{re}{\left(x y^{\frac{81}{2}}\right)}$$
product
/ 81/2\ / / 81/2\ / log(y)\\ / log(y)\ - 8*re\x*y / + I*\- 8*im\x*y / + im\x // + re\x /
$$i \left(\operatorname{im}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{im}{\left(x y^{\frac{81}{2}}\right)}\right) + \operatorname{re}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{re}{\left(x y^{\frac{81}{2}}\right)}$$
=
/ 81/2\ / / 81/2\ / log(y)\\ / log(y)\ - 8*re\x*y / + I*\- 8*im\x*y / + im\x // + re\x /
$$i \left(\operatorname{im}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{im}{\left(x y^{\frac{81}{2}}\right)}\right) + \operatorname{re}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{re}{\left(x y^{\frac{81}{2}}\right)}$$
-8*re(x*y^(81/2)) + i*(-8*im(x*y^(81/2)) + im(x^log(y))) + re(x^log(y))
Rapid solution
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/ 81/2\ / / 81/2\ / log(y)\\ / log(y)\ z1 = - 8*re\x*y / + I*\- 8*im\x*y / + im\x // + re\x /
$$z_{1} = i \left(\operatorname{im}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{im}{\left(x y^{\frac{81}{2}}\right)}\right) + \operatorname{re}{\left(x^{\log{\left(y \right)}}\right)} - 8 \operatorname{re}{\left(x y^{\frac{81}{2}}\right)}$$
z1 = i*(im(x^log(y)) - 8*im(x*y^(81/2))) + re(x^log(y)) - 8*re(x*y^(81/2))