For the quadratic equation `x^2+2(a+1)x+9a-5=0,` which of the following is/are true? (a) If `2 < a < 5` , then roots are opposite sign (b)If `a < 0` , then roots are opposite in sign (c) if `a > 7` then both roots are negative (d) if `2 <= a <= 5` then roots are unreal

Root of the quadratic equation x^2+6x-2=0

The roots of the quadratic equation 2x^2 - x - 6 = 0 are

Find the roots of the quadratic equation 6x^2-x-2=0 .

Let x^2-2(a - 1)x + a - 1 = 0 (a in R) be a quadratic equation, then find the value of 'a' for which (a) Both the roots are positive (b)Both the roots are negative (c) Both the roots are opposite in sign. (d) Both the roots are greater than 1. (e)Both the roots are smaller than 1. (f) One root is small than 1 and the other root is greater than 1.

Solve the following quadratic equation: \ 2x^2-(3+7i)x+(9i-3)=0