Mister Exam
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Equation 6x-3x+1=8
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Identical expressions
- sqrt(one -sin(two *a))+sqrt(two - two *cos(two *a))=sin(a)+cos(a)
- square root of (1 minus sinus of (2 multiply by a)) plus square root of (2 minus 2 multiply by co sinus of e of (2 multiply by a)) equally sinus of (a) plus co sinus of e of (a)
- square root of (one minus sinus of (two multiply by a)) plus square root of (two minus two multiply by co sinus of e of (two multiply by a)) equally sinus of (a) plus co sinus of e of (a)
- √(1-sin(2*a))+√(2-2*cos(2*a))=sin(a)+cos(a)
- sqrt(1-sin(2a))+sqrt(2-2cos(2a))=sin(a)+cos(a)
- sqrt1-sin2a+sqrt2-2cos2a=sina+cosa
-
Similar expressions
- sqrt(1-sin(2*a))-sqrt(2-2*cos(2*a))=sin(a)+cos(a)
- sqrt(1+sin(2*a))+sqrt(2-2*cos(2*a))=sin(a)+cos(a)
- sqrt(1-sin(2*a))+sqrt(2-2*cos(2*a))=sin(a)-cos(a)
- sqrt(1-sin(2*a))+sqrt(2+2*cos(2*a))=sin(a)+cos(a)
sqrt(1-sin(2*a))+sqrt(2-2*cos(2*a))=sin(a)+cos(a) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
______________ ________________ \/ 1 - sin(2*a) + \/ 2 - 2*cos(2*a) = sin(a) + cos(a)
$$\sqrt{1 - \sin{\left(2 a \right)}} + \sqrt{2 - 2 \cos{\left(2 a \right)}} = \sin{\left(a \right)} + \cos{\left(a \right)}$$
Rapid solution
[src]
a1 = 0
$$a_{1} = 0$$
-7*pi
a2 = -----
4
$$a_{2} = - \frac{7 \pi}{4}$$
pi
a3 = --
4
$$a_{3} = \frac{\pi}{4}$$
a3 = pi/4
Sum and product of roots
[src]
sum
7*pi pi - ---- + -- 4 4
$$- \frac{7 \pi}{4} + \frac{\pi}{4}$$
=
-3*pi ----- 2
$$- \frac{3 \pi}{2}$$
product
-7*pi pi
0*-----*--
4 4
$$\frac{\pi}{4} \cdot 0 \left(- \frac{7 \pi}{4}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
a1 = -877483.803502051
a2 = 97910267.7988983
a3 = -37.6982019319724
a4 = -9.74551216683365e+17
a5 = 1709.7553457995
a6 = -9017231.0243961
a7 = 57.1191382492676
a8 = 112161354.781346
a9 = 0.0
a10 = 1181.85547417871
a11 = -18.2354096008803
a12 = -68.9295766370483
a13 = -99.9583333333333
a14 = 50.289585764565
a15 = 50.2656766676
a16 = -22487048.8260164
a17 = 194.901507896963
a18 = -43.75
a19 = 3322033356688.43
a20 = 25.7009896899231
a21 = 37.9438300042713
a22 = 88.6780199905008
a23 = -68.3612424953518
a24 = 82.3842376715666
a25 = -2.48553661070384e+17
a26 = -6.0
a27 = -31.2783949199405
a28 = -356589.29628265
a29 = -123212.838003657
a30 = -808041023128.547
a31 = 1062.3955284369
a32 = 259502.463944138
a33 = -65488.8618953669
a34 = -558.860170558934
a35 = -270.001706916872
a36 = 62.9746186322556
a37 = 6.28368636043909
a38 = 534.50797460407
a39 = -31.404331026628
a40 = -24.9625421928844
a41 = -147782921349313.0
a42 = 890906.02911835
a43 = -12.0
a44 = -87.75
a45 = -62.0472521865465
a46 = -33499914.1244003
a47 = 94.2479921005645
a48 = -94.0
a49 = 94.25
a50 = 50.6976914204628
a51 = 25.9162315602225
a52 = -28242.5545431027
a53 = 13.1541309590184
a54 = 32.0
a55 = 13365.0015467765
a56 = -1233196042.03172
a57 = 19.5943341427829
a58 = -181.711525948217
a59 = 19.0055458274121
a60 = 4015.13079825296
a61 = 6.3646997176936
a62 = -56.0
a63 = 88.271875
a64 = -16103.2148924914
a65 = 57.1811239649606
a66 = -49.7218167928997
a67 = 76.0
a68 = 12.8696431098451
a69 = -30.7836939514004
a70 = -270.123604855027
a71 = 1445.44147404933
a72 = 44.25
a73 = 12.5949927235731
a74 = 94.6725675031722
a75 = 88.1472917927094
a76 = -43.7945308865876
a77 = -37.5647498387014
a78 = 69.6408594678839
a79 = -81.4983188790228
a80 = -75.3611727411098
a81 = -74.7793701311145
a82 = -24.3832532575726
a83 = -49.75
a84 = -590.178201818504
a85 = -31.383281814451
a86 = -79886588565.397
a87 = 56.5736277002085
a88 = 194.857462697411
a89 = 12066949337.3025
a90 = 100.552601150139
a91 = 12885613.0364402
a92 = -81.679975885385
a93 = 6226.92956763605
a94 = 69.8977749018853
a95 = -30.8120650713422
a96 = -18.0654484271649
a97 = 63.5714941541202
a98 = -62.1679855099546
a99 = 38.1666666666667
a99 = 38.1666666666667