Show that the solutions of the equation `[x y z t]^2=Oa r e[x y z t]=[+-sqrt(alphabeta)-betaalpha+-sqrt(alphabeta)],w h e r ealpha,beta` are libitrary.

Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(z,t)]=[(+-sqrt(alphabeta),-beta),(alpha,+-sqrt(alphabeta))] , where alpha,beta are arbitrary.

Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(z,t)]=[(+-sqrt(alphabeta),-beta),(alpha,+-sqrt(alphabeta))] , where alpha,beta are arbitrary.

Show that the solution of the equation [(x, y),(z, t)]^(2)=O is [(x,y),(z,t)]=[(pm sqrt(alpha beta),-beta),(alpha,pm sqrt(alpha beta))] where alpha, beta are arbitrary.

Show that the solution of the equation [(x, y),(z, t)]^(2)=O is [(x,y),(z,t)]=[(pm sqrt(alpha beta),-beta),(alpha,pm sqrt(alpha beta))] where alpha, beta are arbitrary.

If the roots of the equation a x^2-b x+c=0a r ealpha,beta, then the roots of the equation b^2 c x^2-a b^2x+a^3=0 are 1/(alpha^3+alphabeta),1/(beta^3+alphabeta) b. 1/(alpha^2+alphabeta),1/(beta^2+alphabeta) c. 1/(alpha^4+alphabeta),1/(beta^4+alphabeta) d. none of these

If the roots of the equation a x^2-b x+c=0a r ealpha,beta, then the roots of the equation b^2c x^2-a b^(2x)+a^3=0 are 1/(alpha^3+alphabeta),1/(beta^3+alphabeta) b. 1/(alpha^2+alphabeta),1/(beta^2+alphabeta) c. 1/(alpha^4+alphabeta),1/(beta^4+alphabeta) d. none of these

Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi,n in Z

Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi,n in Z

If a,b in R are two of an quadratic equations,then the equation will be given as x^2-(alpha+beta)x+alphabeta =0 If alphabeta =-10/3 ( alpha,beta related as above) then

If the system of linear equations {:(2x+y-z=3),(x-y-z=alpha),(3x+33y-betaz=3):} has infinitely many solution, then alpha+beta-alphabeta is equal to ______.