Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 10/(x+6)=1
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Equation x^6=-64
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Equation sin(5*x)=-1
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Equation 5(x-7)=-3
- Express {x} in terms of y where:
- -5*x-13*y=-2
- -6*x-14*y=17
- -11*x-3*y=-1
- 16*x+7*y=-9
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Identical expressions
- z=y4sin5x+ two x−2
- z equally y4 sinus of 5x plus 2x−2
- z equally y4 sinus of 5x plus two x−2
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Similar expressions
- z=y4sin5x-2x−2
z=y4sin5x+2x−2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
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z = y4*sin(5*x) + 2*x - 2
$$z = \left(2 x + y_{4} \sin{\left(5 x \right)}\right) - 2$$
The graph
Rapid solution
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z1 = -2 + 2*re(x) + I*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))
$$z_{1} = i \left(2 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(y_{4} \sin{\left(5 x \right)}\right)}\right) + 2 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(y_{4} \sin{\left(5 x \right)}\right)} - 2$$
z1 = i*(2*im(x) + im(y4*sin(5*x))) + 2*re(x) + re(y4*sin(5*x)) - 2
Sum and product of roots
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sum
-2 + 2*re(x) + I*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))
$$i \left(2 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(y_{4} \sin{\left(5 x \right)}\right)}\right) + 2 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(y_{4} \sin{\left(5 x \right)}\right)} - 2$$
=
-2 + 2*re(x) + I*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))
$$i \left(2 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(y_{4} \sin{\left(5 x \right)}\right)}\right) + 2 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(y_{4} \sin{\left(5 x \right)}\right)} - 2$$
product
-2 + 2*re(x) + I*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))
$$i \left(2 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(y_{4} \sin{\left(5 x \right)}\right)}\right) + 2 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(y_{4} \sin{\left(5 x \right)}\right)} - 2$$
=
-2 + 2*re(x) + I*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))
$$i \left(2 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(y_{4} \sin{\left(5 x \right)}\right)}\right) + 2 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(y_{4} \sin{\left(5 x \right)}\right)} - 2$$
-2 + 2*re(x) + i*(2*im(x) + im(y4*sin(5*x))) + re(y4*sin(5*x))