Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2=11
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Equation 10(x-9)=7
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Equation (x+2)^4+(x+2)^2-12=0
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Equation (x+9)^2=(x+6)^2
- Express {x} in terms of y where:
- -14*x-3*y=-5
- -6*x-17*y=14
- 4*x-18*y=-14
- -14*x-1*y=3
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Identical expressions
- (x^ two -(a+ four)*x+ two *a+ four)*(cot(x))/(pi*x/ three -sqrt(three)/ three)= zero
- (x squared minus (a plus 4) multiply by x plus 2 multiply by a plus 4) multiply by ( cotangent of (x)) divide by ( Pi multiply by x divide by 3 minus square root of (3) divide by 3) equally 0
- (x to the power of two minus (a plus four) multiply by x plus two multiply by a plus four) multiply by ( cotangent of (x)) divide by ( Pi multiply by x divide by three minus square root of (three) divide by three) equally zero
- (x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-√(3)/3)=0
- (x2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- x2-a+4*x+2*a+4*cotx/pi*x/3-sqrt3/3=0
- (x²-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- (x to the power of 2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- (x^2-(a+4)x+2a+4)(cot(x))/(pix/3-sqrt(3)/3)=0
- (x2-(a+4)x+2a+4)(cot(x))/(pix/3-sqrt(3)/3)=0
- x2-a+4x+2a+4cotx/pix/3-sqrt3/3=0
- x^2-a+4x+2a+4cotx/pix/3-sqrt3/3=0
- (x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=O
- (x^2-(a+4)*x+2*a+4)*(cot(x)) divide by (pi*x divide by 3-sqrt(3) divide by 3)=0
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Similar expressions
- (x^2+(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- (x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3+sqrt(3)/3)=0
- (x^2-(a+4)*x+2*a-4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- (x^2-(a+4)*x-2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- (x^2-(a-4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
(x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0 equation
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The solution
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[src]
/ 2 \
\x - (a + 4)*x + 2*a + 4/*cot(x)
--------------------------------- = 0
___
pi*x \/ 3
---- - -----
3 3
$$\frac{\left(\left(2 a + \left(x^{2} - x \left(a + 4\right)\right)\right) + 4\right) \cot{\left(x \right)}}{\frac{\pi x}{3} - \frac{\sqrt{3}}{3}} = 0$$
The graph
Rapid solution
[src]
x1 = 2
$$x_{1} = 2$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
pi
x3 = --
2
$$x_{3} = \frac{\pi}{2}$$
x4 = 2 + I*im(a) + re(a)
$$x_{4} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2$$
x4 = re(a) + i*im(a) + 2
Sum and product of roots
[src]
sum
pi pi
2 - -- + -- + 2 + I*im(a) + re(a)
2 2
$$\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right) + \left(\left(2 - \frac{\pi}{2}\right) + \frac{\pi}{2}\right)$$
=
4 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4$$
product
-pi pi 2*----*--*(2 + I*im(a) + re(a)) 2 2
$$\frac{\pi}{2} \cdot 2 \left(- \frac{\pi}{2}\right) \left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right)$$
=
2
-pi *(2 + I*im(a) + re(a))
---------------------------
2
$$- \frac{\pi^{2} \left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right)}{2}$$
-pi^2*(2 + i*im(a) + re(a))/2