Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2x+9=13-x
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Equation x^2+4x+13=0
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Equation x^2-6x+13=0
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Equation x²-25=0
- Express {x} in terms of y where:
- -17*x-12*y=-4
- 2*x+13*y=-7
- -4*x-1*y=-6
- -7*x-20*y=-5
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Identical expressions
- cos(two *x/sgrtx)=sqrt two /2
- co sinus of e of (2 multiply by x divide by sgrtx) equally square root of 2 divide by 2
- co sinus of e of (two multiply by x divide by sgrtx) equally square root of two divide by 2
- cos(2*x/sgrtx)=√2/2
- cos(2x/sgrtx)=sqrt2/2
- cos2x/sgrtx=sqrt2/2
- cos(2*x divide by sgrtx)=sqrt2 divide by 2
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Similar expressions
- (sin(x)+sqrt(2)/2)*(cos(x)-sqrt(2)/2)=0
- cos(2*x)/sgrtx=sqrt2/2
- cos2п/sqrt(x)=sqrt(2)/2
- cos((3*x)/2)=sqrt(2)/2
cos(2*x/sgrtx)=sqrt2/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___ / 2*x \ \/ 2 cos|-----| = ----- | ___| 2 \\/ x /
$$\cos{\left(\frac{2 x}{\sqrt{x}} \right)} = \frac{\sqrt{2}}{2}$$
Sum and product of roots
[src]
sum
2 2 pi 49*pi --- + ------ 64 64
$$\frac{\pi^{2}}{64} + \frac{49 \pi^{2}}{64}$$
=
2 25*pi ------ 32
$$\frac{25 \pi^{2}}{32}$$
product
2 2 pi 49*pi ---*------ 64 64
$$\frac{\pi^{2}}{64} \frac{49 \pi^{2}}{64}$$
=
4 49*pi ------ 4096
$$\frac{49 \pi^{4}}{4096}$$
49*pi^4/4096
Rapid solution
[src]
2
pi
x1 = ---
64
$$x_{1} = \frac{\pi^{2}}{64}$$
2
49*pi
x2 = ------
64
$$x_{2} = \frac{49 \pi^{2}}{64}$$
x2 = 49*pi^2/64
Numerical answer
[src]
x1 = 0.154212568766517
x2 = 7.55641586958404
x3 = 34.6978279725798
x4 = 96.3828554793883
x5 = 12.4912180701287
x6 = 0.154212568767015
x7 = 807999.992518752
x8 = 0.154212568767021
x9 = 0.154212568767021
x10 = 81.5784488777542
x11 = 44.5674323736691
x12 = 167.937487387286
x12 = 167.937487387286