Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2=11
-
Equation log(4/(7-x))/log(x^2)=5
-
Equation sin(2*x)=-1
-
Equation -2*x/(x^2+1)^2=0
- Express {x} in terms of y where:
- -14*x-16*y=14
- 16*x-17*y=-9
- -14*x-3*y=-5
- -16*x-20*y=6
-
Identical expressions
- (sqrt2*sin(x)+ one)*(sqrt(-5cos(x)))= zero
- ( square root of 2 multiply by sinus of (x) plus 1) multiply by ( square root of ( minus 5 co sinus of e of (x))) equally 0
- ( square root of 2 multiply by sinus of (x) plus one) multiply by ( square root of ( minus 5 co sinus of e of (x))) equally zero
- (√2*sin(x)+1)*(√(-5cos(x)))=0
- (sqrt2sin(x)+1)(sqrt(-5cos(x)))=0
- sqrt2sinx+1sqrt-5cosx=0
- (sqrt2*sin(x)+1)*(sqrt(-5cos(x)))=O
-
Similar expressions
- (sqrt2*sin(x)+1)*(sqrt(5cos(x)))=0
- (sqrt2*sin(x)-1)*(sqrt(-5cos(x)))=0
- (sqrt2*sinx+1)*(sqrt(-5cosx))=0
(sqrt2*sin(x)+1)*(sqrt(-5cos(x)))=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ ___ \ ___________ \\/ 2 *sin(x) + 1/*\/ -5*cos(x) = 0
$$\sqrt{- 5 \cos{\left(x \right)}} \left(\sqrt{2} \sin{\left(x \right)} + 1\right) = 0$$
Rapid solution
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
5*pi
x3 = ----
4
$$x_{3} = \frac{5 \pi}{4}$$
3*pi
x4 = ----
2
$$x_{4} = \frac{3 \pi}{2}$$
x4 = 3*pi/2
Sum and product of roots
[src]
sum
pi pi 5*pi 3*pi - -- + -- + ---- + ---- 4 2 4 2
$$\left(\left(- \frac{\pi}{4} + \frac{\pi}{2}\right) + \frac{5 \pi}{4}\right) + \frac{3 \pi}{2}$$
=
3*pi
$$3 \pi$$
product
-pi pi 5*pi 3*pi ----*--*----*---- 4 2 4 2
$$\frac{3 \pi}{2} \frac{5 \pi}{4} \cdot - \frac{\pi}{4} \frac{\pi}{2}$$
=
4 -15*pi ------- 64
$$- \frac{15 \pi^{4}}{64}$$
-15*pi^4/64
Numerical answer
[src]
x1 = 18.0641577581413
x2 = -14.9225651045515
x3 = -76.1836218495525
x4 = 49.4800842940392
x5 = -77.7544181763474
x6 = 3.92699081698724
x7 = 5.49778714378214
x8 = -0.785398163397448
x9 = 43.1968989868597
x10 = -84.037603483527
x11 = 93.4623814442964
x12 = 54.1924732744239
x13 = 24.3473430653209
x14 = -25.9181393921158
x15 = -258.39599575776
x16 = 87.1791961371168
x17 = 11.7809724509617
x18 = 29.0597320457056
x19 = -65.1880475619882
x20 = 22.776546738526
x21 = -51.0508806208341
x22 = 68.329640215578
x23 = -19.6349540849362
x24 = -52.621676947629
x25 = -69.9004365423729
x26 = 73.0420291959627
x27 = 66.7588438887831
x28 = 10.2101761241668
x29 = 60.4756585816035
x30 = -71.4712328691678
x31 = -27.4889357189107
x32 = -58.9048622548086
x33 = 99.7455667514759
x34 = -21.2057504117311
x35 = 79.3252145031423
x36 = -82.4668071567321
x37 = 36.9137136796801
x38 = -95.0331777710912
x39 = 62.0464549083984
x40 = -7.06858347057703
x41 = 16.4933614313464
x42 = -32.2013246992954
x43 = -88.7499924639117
x44 = -44.7676953136546
x45 = -40.0553063332699
x46 = 98.174770424681
x47 = -33.7721210260903
x48 = 47.9092879672443
x49 = 55.7632696012188
x50 = 91.8915851175014
x51 = -63.6172512351933
x52 = 35.3429173528852
x53 = -38.484510006475
x54 = -101.316363078271
x54 = -101.316363078271