If the equation `(1+m)x^(2)-2(1+3m)x+(1-8m)=0` where `m epsilonR~{-1}`, has atleast one root is negative, then

If the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m epsilonR~{-1} , has atleast one root negative, then

If the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1}, has at least one root is

Consider the quadratic equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1}. The set of values of m such that the given quadratic equation has at least one root is negative is

Consider the quadratic equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1} The set of values of m such that the given quadratic equation has both roots are positive is

For what values of m the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 has (m in R) (i) both roots are imaginary? (ii) both roots are equal? (iii) both roots are real and distinct? (iv) both roots are positive? (v) both roots are negative? (vi) roots are opposite in sign? (vii)roots are equal in magnitude but opposite in sign? (viii) atleast one root is positive? (iv) atleast one root is negative? (x) roots are in the ratio 2:3 ?

For what values of m the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 has (m in R) (i) both roots are imaginary? (ii) both roots are equal? (iii) both roots are real and distinct? (iv) both roots are positive? (v) both roots are negative? (vi) roots are opposite in sign? (vii)roots are equal in magnitude but opposite in sign? (viii) atleast one root is positive? (ix) atleast one root is negative? (x) roots are in the ratio 2:3 ?

For what values of m the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 has (m in R) (i) both roots are equal

If the equation z^(3)+(3+i)z^(2)-3z-(m+i)=0, " where " i=sqrt(-1) " and " m in R , has atleast one real root, value of m is

If the equation z^(3)+(3+i)z^(2)-3z-(m+i)=0, " where " i=sqrt(-1) " and " m in R , has atleast one real root, value of m is