[" If the equation "(1+m)x^(2)-2(1+3m)x+(1+8m)=0" ,"],[[" (a) "m in(-oo,-1)," (b) "m in(-(1)/(8),oo),]]

(m+1)x^(2)+2(m+3)x+(m+8)=0 .

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

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 ?

The number of interal values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no ral roots 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 equal

The number of integral values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no real roots is