Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation -x/7+x=15/7
-
Equation -33-y=-19
-
Equation x^2=2x+8
-
Equation 6=8-5(7x-1)
- Express {x} in terms of y where:
- -2*x+18*y=13
- -2*x-15*y=-1
- 10*x-2*y=11
- 4*x-7*y=12
-
Identical expressions
- arctg(x)+(y)^(zero . five)
- arctg(x) plus (y) to the power of (0.5)
- arctg(x) plus (y) to the power of (zero . five)
- arctg(x)+(y)(0.5)
- arctgx+y0.5
- arctgx+y^0.5
-
Similar expressions
- arctg(x)-(y)^(0.5)
arctg(x)+(y)^(0.5) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___ atan(x) + \/ y = 0
$$\sqrt{y} + \operatorname{atan}{\left(x \right)} = 0$$
The graph
Rapid solution
[src]
2 2 y1 = re (atan(x)) - im (atan(x)) + 2*I*im(atan(x))*re(atan(x))
$$y_{1} = \left(\operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2} + 2 i \operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2}$$
y1 = re(atan(x))^2 + 2*i*re(atan(x))*im(atan(x)) - im(atan(x))^2
Sum and product of roots
[src]
sum
2 2 re (atan(x)) - im (atan(x)) + 2*I*im(atan(x))*re(atan(x))
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2} + 2 i \operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2}$$
=
2 2 re (atan(x)) - im (atan(x)) + 2*I*im(atan(x))*re(atan(x))
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2} + 2 i \operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2}$$
product
2 2 re (atan(x)) - im (atan(x)) + 2*I*im(atan(x))*re(atan(x))
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2} + 2 i \operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2}$$
=
2 2 re (atan(x)) - im (atan(x)) + 2*I*im(atan(x))*re(atan(x))
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2} + 2 i \operatorname{re}{\left(\operatorname{atan}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{atan}{\left(x \right)}\right)}\right)^{2}$$
re(atan(x))^2 - im(atan(x))^2 + 2*i*im(atan(x))*re(atan(x))