Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x/4+x=4
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Equation x^2+11=0
- Equation x+y=5
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Equation 1*(x-1)*(x-3)=0
- Express {x} in terms of y where:
- -11*x-3*y=14
- -1*x-17*y=-12
- 20*x+18*y=-9
- -2*x+20*y=-2
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Identical expressions
- - two *x^ eight *y^ five *(three *x^ two - five *x*y+y^ two)= zero
- minus 2 multiply by x to the power of 8 multiply by y to the power of 5 multiply by (3 multiply by x squared minus 5 multiply by x multiply by y plus y squared ) equally 0
- minus two multiply by x to the power of eight multiply by y to the power of five multiply by (three multiply by x to the power of two minus five multiply by x multiply by y plus y to the power of two) equally zero
- -2*x8*y5*(3*x2-5*x*y+y2)=0
- -2*x8*y5*3*x2-5*x*y+y2=0
- -2*x⁸*y⁵*(3*x²-5*x*y+y²)=0
- -2*x to the power of 8*y to the power of 5*(3*x to the power of 2-5*x*y+y to the power of 2)=0
- -2x^8y^5(3x^2-5xy+y^2)=0
- -2x8y5(3x2-5xy+y2)=0
- -2x8y53x2-5xy+y2=0
- -2x^8y^53x^2-5xy+y^2=0
- -2*x^8*y^5*(3*x^2-5*x*y+y^2)=O
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Similar expressions
- -2*x^8*y^5*(3*x^2-5*x*y-y^2)=0
- -2*x^8*y^5*(3*x^2+5*x*y+y^2)=0
- 2*x^8*y^5*(3*x^2-5*x*y+y^2)=0
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What you mean?
- -2*x^8*y^5*(3*x^2 - 5*x*y + y^2) = 0
- -2*x^((8*y)^5)*(3*x^2 - 5*x*y + y^2) = 0
- -2*x^((8*y)^5)*(3*x^2 - 5*x*y + y^2) = 0
You entered:
-2*x^8*y^5*(3*x^2-5*x*y+y^2)=0
What you mean?
-2*x^8*y^5*(3*x^2-5*x*y+y^2)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
8 5 / 2 2\ -2*x *y *\3*x - 5*x*y + y / = 0
$$- 2 x^{8} y^{5} \cdot \left(3 x^{2} - 5 x y + y^{2}\right) = 0$$
The graph
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
/ ____\
y*\5 - \/ 13 /
x2 = --------------
6
$$x_{2} = \frac{y \left(- \sqrt{13} + 5\right)}{6}$$
/ ____\
y*\5 + \/ 13 /
x3 = --------------
6
$$x_{3} = \frac{y \left(\sqrt{13} + 5\right)}{6}$$
Sum and product of roots
[src]
sum
/ ____\ / ____\
y*\5 - \/ 13 / y*\5 + \/ 13 /
0 + 0 + -------------- + --------------
6 6
$$\frac{y \left(\sqrt{13} + 5\right)}{6} + \left(\frac{y \left(- \sqrt{13} + 5\right)}{6} + \left(0 + 0\right)\right)$$
=
/ ____\ / ____\
y*\5 + \/ 13 / y*\5 - \/ 13 /
-------------- + --------------
6 6
$$\frac{y \left(- \sqrt{13} + 5\right)}{6} + \frac{y \left(\sqrt{13} + 5\right)}{6}$$
product
/ ____\ / ____\
y*\5 - \/ 13 / y*\5 + \/ 13 /
1*0*--------------*--------------
6 6
$$1 \cdot 0 \frac{y \left(- \sqrt{13} + 5\right)}{6} \frac{y \left(\sqrt{13} + 5\right)}{6}$$
=
0
$$0$$
0