Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation log2(x^2+3x)=2
-
Equation ctg(x)=-sqrt3/3
-
Equation sqrt(2x+5)+sqrt(5x+6)=sqrt(12x+25)
- Equation ((4x-5)/(3x+2))^2+((3x+2)/(5-4x))^2=4.25
- Express {x} in terms of y where:
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
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Identical expressions
- one /(x- three)^ two - nine /(x+ three)^ two - six /x^ two - nine = zero
- 1 divide by (x minus 3) squared minus 9 divide by (x plus 3) squared minus 6 divide by x squared minus 9 equally 0
- one divide by (x minus three) to the power of two minus nine divide by (x plus three) to the power of two minus six divide by x to the power of two minus nine equally zero
- 1/(x-3)2-9/(x+3)2-6/x2-9=0
- 1/x-32-9/x+32-6/x2-9=0
- 1/(x-3)²-9/(x+3)²-6/x²-9=0
- 1/(x-3) to the power of 2-9/(x+3) to the power of 2-6/x to the power of 2-9=0
- 1/x-3^2-9/x+3^2-6/x^2-9=0
- 1/(x-3)^2-9/(x+3)^2-6/x^2-9=O
- 1 divide by (x-3)^2-9 divide by (x+3)^2-6 divide by x^2-9=0
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Similar expressions
- 1/(x-3)^2-9/(x-3)^2-6/x^2-9=0
- 1/(x-3)^2-9/(x+3)^2-6/x^2+9=0
- 1/(x-3)^2+9/(x+3)^2-6/x^2-9=0
- 1/(x-3)^2-9/(x+3)^2+6/x^2-9=0
- 1/(x+3)^2-9/(x+3)^2-6/x^2-9=0
1/(x-3)^2-9/(x+3)^2-6/x^2-9=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1 9 6
-------- - -------- - -- - 9 = 0
2 2 2
(x - 3) (x + 3) x
$$\left(\left(- \frac{9}{\left(x + 3\right)^{2}} + \frac{1}{\left(x - 3\right)^{2}}\right) - \frac{6}{x^{2}}\right) - 9 = 0$$
Rapid solution
[src]
x1 = 2.68550314582042
$$x_{1} = 2.68550314582042$$
x2 = 3.31993330268543
$$x_{2} = 3.31993330268543$$
x3 = -2.98191740481745 - 0.974562823927596*I
$$x_{3} = -2.98191740481745 - 0.974562823927596 i$$
x4 = -2.98191740481745 + 0.974562823927596*I
$$x_{4} = -2.98191740481745 + 0.974562823927596 i$$
x5 = -0.020800819435473 - 0.784212395503798*I
$$x_{5} = -0.020800819435473 - 0.784212395503798 i$$
x6 = -0.020800819435473 + 0.784212395503798*I
$$x_{6} = -0.020800819435473 + 0.784212395503798 i$$
x6 = -0.020800819435473 + 0.784212395503798*i
Sum and product of roots
[src]
sum
2.68550314582042 + 3.31993330268543 + -2.98191740481745 - 0.974562823927596*I + -2.98191740481745 + 0.974562823927596*I + -0.020800819435473 - 0.784212395503798*I + -0.020800819435473 + 0.784212395503798*I
$$\left(\left(-0.020800819435473 - 0.784212395503798 i\right) + \left(\left(\left(2.68550314582042 + 3.31993330268543\right) + \left(-2.98191740481745 - 0.974562823927596 i\right)\right) + \left(-2.98191740481745 + 0.974562823927596 i\right)\right)\right) + \left(-0.020800819435473 + 0.784212395503798 i\right)$$
=
4.51028103753970e-16
$$4.5102810375397 \cdot 10^{-16}$$
product
2.68550314582042*3.31993330268543*(-2.98191740481745 - 0.974562823927596*I)*(-2.98191740481745 + 0.974562823927596*I)*(-0.020800819435473 - 0.784212395503798*I)*(-0.020800819435473 + 0.784212395503798*I)
$$2.68550314582042 \cdot 3.31993330268543 \left(-2.98191740481745 - 0.974562823927596 i\right) \left(-2.98191740481745 + 0.974562823927596 i\right) \left(-0.020800819435473 - 0.784212395503798 i\right) \left(-0.020800819435473 + 0.784212395503798 i\right)$$
=
54.0000000000000
$$54.0$$
54.0000000000000
Numerical answer
[src]
x1 = 2.68550314582042
x2 = 3.31993330268543
x3 = -2.98191740481745 - 0.974562823927596*i
x4 = -2.98191740481745 + 0.974562823927596*i
x5 = -0.020800819435473 - 0.784212395503798*i
x6 = -0.020800819435473 + 0.784212395503798*i
x6 = -0.020800819435473 + 0.784212395503798*i