(ii)Find all the roots of the equation z^(10)+z^5+1=0 ,giving each root in the form eie.[5] 相关知识点: 试题来源: 解析 3(ii) z^5=-1/2+i(√3)/2 z^5=erp(i2π(1/3+k)(i2π(-1/3+k)) exp(±t(2π)/(15),exp(t+(4π)/(15))⋅exp(t+(2π)/3),exp...
3 Find all the roots of the equation (w+1)^6=1,gi iving your answers in the form x+iy where x and y are real and exact.[4] 相关知识点: 试题来源: 解析 N+1=cos(2n)/6π+2sin(2n)/6π, 3.o.s =0,-1/2±1/2(√3,-3/2±1/2i W2Uses the 6th roots of unity.Al ...
一道英文数学题suppose a polynomial of degree 5 with rational coefficients has 3+根号三,1+2i,-1as roots .find all the roots of the polynomial.
解:r(x)=x^8-17x^4+16 =(x^4-1)(x^4-16) =(x^2-1)(x^2+1)(x^2-4)(x^2+4) =(x+1)(x-1)(x+i)(x-i)(x+2)(x-2)(x+2i)(x-2i) 令 x+1=0,得到 x_1=1 令 x-1=0,得到 x_2=-1 令 x+i=0,得到 x_3=i 令 x-i=0,得到 x_4=-i 令 x+2=0,得到 ...
Find all roots of the equation,including complex roots.Bingpei Wu
∅, There are no real rootsWORK SHOWN: (x= + 4)(2x − 1) = (x= + 4)(2x + 1), (x= + 4)(2x − 1) − (x= + 4)(2x + 1), (x= + 4)((2x − 1) − (2x + 1)) = 0, (x= + 4)(−2) = 0, x= + 4 = 0 OR − 2 = 0; no real roots...
2. To detect the true nature or character of; expose: Liars risk being found out. 3. To detect and apprehend; catch: Most embezzlers are found out in the end. [Middle English finden, from Old English findan; see pent- in Indo-European roots.] find′a·ble adj. American Heritage®...
Formula to Find Roots of Quadratic Equation The term b2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots. If discriminant is greater than 0, the roots are real and different. If discriminant is equal to 0, the roots are real and ...
possibleRoots String Root folders separated by ';' relativeFilePaths String Relative file paths to find under root folders, separated by ';'. Returns String The first root folder in the given list, which contains all files. Empty string if not found. ...
p=±1,±2,±4p=±1,±2,±4 q=±1,±2,±5,±10q=±1,±2,±5,±10 Find everycombinationof±pq. These are the possiblerootsof thepolynomialfunction. ±1,±12,±15,±110,±2,±25,±4,±45±1,±12,±15,±110,±2,±25,±4,±45...