Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x/12+x/8+x=-29/6
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Equation x^2+7x-18=0
- Equation x-y+2=0
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Equation x^2-2x=0
- Express {x} in terms of y where:
- 13*x-18*y=-17
- 7*x+6*y=20
- -7*x-19*y=-18
- 5*x+12*y=18
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Identical expressions
- (x^ two - two *x+ three)*√sinx= zero
- (x squared minus 2 multiply by x plus 3) multiply by √ sinus of x equally 0
- (x to the power of two minus two multiply by x plus three) multiply by √ sinus of x equally zero
- (x2-2*x+3)*√sinx=0
- x2-2*x+3*√sinx=0
- (x²-2*x+3)*√sinx=0
- (x to the power of 2-2*x+3)*√sinx=0
- (x^2-2x+3)√sinx=0
- (x2-2x+3)√sinx=0
- x2-2x+3√sinx=0
- x^2-2x+3√sinx=0
- (x^2-2*x+3)*√sinx=O
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Similar expressions
- (x^2+2*x+3)*√sinx=0
- (x^2-2*x-3)*√sinx=0
(x^2-2*x+3)*√sinx=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ 2 \ ________ \x - 2*x + 3/*\/ sin(x) = 0
$$\left(x^{2} - 2 x + 3\right) \sqrt{\sin{\left(x \right)}} = 0$$
Rapid solution
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x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
___ x3 = 1 - I*\/ 2
$$x_{3} = 1 - \sqrt{2} i$$
___ x4 = 1 + I*\/ 2
$$x_{4} = 1 + \sqrt{2} i$$
Sum and product of roots
[src]
sum
___ ___ 0 + 0 + pi + 1 - I*\/ 2 + 1 + I*\/ 2
$$\left(\left(\left(0 + 0\right) + \pi\right) + \left(1 - \sqrt{2} i\right)\right) + \left(1 + \sqrt{2} i\right)$$
=
2 + pi
$$2 + \pi$$
product
/ ___\ / ___\ 1*0*pi*\1 - I*\/ 2 /*\1 + I*\/ 2 /
$$1 \cdot 0 \pi \left(1 - \sqrt{2} i\right) \left(1 + \sqrt{2} i\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = 0
x2 = 3.14159265358979
x3 = 1.0 - 1.4142135623731*i
x4 = 1.0 + 1.4142135623731*i
x4 = 1.0 + 1.4142135623731*i
The graph