Solve the following questions.
(ii) The roots of the equation `x^2-3ax+b=0` differ by 4, then show that `9a^2=4b+16`.

The roots of the equation x^2+ax+b=0 are

If the roots of the equation ax^2+bx+c=0 differ by K then b^(2)-4ac=

If the roots of the equation ax^2+bx+c=0 are in the ratio 3:4 show that 12b^2=49ac .

The roots of the equation x^(2) + ax + b = 0 are "______" .

If a and b are the roots of the equation x^2+ax+b=0 ,then a+b=

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .

if both root of equation x^2-6ax+2-2a+9a^2 = 0 exceeds 3 . then show that a>11/9

Solve the following problems: If one root of the quadratic equation ax^2+bx+c=0 is half of the other root, show that b^2=9ac/2.

Solve the following questions (iii) Determine the nature of the roots of the quadratic equation 3x^2+9x+4=0 .

Solve the following questions (iii) Determine the nature of the roots of the quadratic equation 3x^2+9x+4=0 .