(11)30z^(2)+72-15

30x^(2)+7x-15

Simplify combining like terms: -z^(2) +13z^(2) - 5z + 7z^(3) -15z

Simplify combining like terms: -z^2+13z^2-5z+7z^3-15z

If z_(1)=3 + 4i,z_(2)= 8-15i , verify that |z_(1) + z_(2)|^(2) + |z_(1)-z_(2)|^(2)= 2(|z_(1)|^(2) + |z_(2)|^(2))

Show that ""^(30)C_(0) +""^(30)C_(1)+""^(30)C_(2) +…+ ""^(30)C_(14) =2^(29)-(1)/(2) (""^(30)C_(15))

Let z_(r)(1<=r<=4) be complex numbers such that }z_(r)|=sqrt(r+1) and |30z_(1)+20z_(2)+15z_(3)+12z_(4)|=k|z_(1)z_(2)z_(3)+z_(2)z_(3)z_(4)+z_(3)z_(4)z_(1)+z_(4)z_(1)z_(2) then the value of k equals

The sum of the distinct real roots of polynomial 72-36z-26z^(2)+13z^(3)+2z^(4)-z^(5)=0 will be

Evaluate : (iv) (2-z) (15-z)

If z = 3- 5i then z^(2) - 10z + 30=

If log_(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=