Quadratic Formula /Nature of roots

Natures of Roots

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist (i) 3x^(2)-5x+2=0 (ii) x^(2)+4x+5=0

Form quadratic equation whose roots are : 2,5

The quadratic equation whose one root is - (i)/(4) :

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

Solve the following quadratic equation using the Standard Quadratic Formula 3x ^2 + 5x - 9 = 0

The quadratic equation whose one root is (-3+ i sqrt7)/(4) is

Find the quadratic equation whose one root is (1-i) .

Find the quadratic equation whose roots are (3+- i sqrt5)/(2) .

Form a quadratic equation whose roots are -4a n d6.