Theory of Quadratic Equations

The Determinant of a Quadratic Equation is -47 , then the Roots are______

If b²-4ac > 0, but not a perfect square then roots of ax²  + bx + c =0 are _________

If b²-4ac = 0 , then roots of quadratic equation ax²+bx+c=0 are ___________

Cube Roots of 8 are _________

If ω is complex cube root of unity, then = _______

If any quadratic equation have b²-4ac=205,

then Roots are _______

If Roots of a quadratic equation are real, rational and equal, then the possible value of Discriminant will be __________

=  _____________

"Five less than three times a certain number" is written in equation form as _______

If Roots of any quadratic equation are real, rational and unequal then possible value of Discriminant will be _________

If the Roots of any Quadratic Equation are equal, then its Discriminant will be ________

(9 + 4ω + 4ω² )³  =   _________

Product of cube roots of unity is ___________

If ω is complex cube root of unity, then = _____

For a quadratic Equation b²-4ac=49  , then Roots are Real and ________

If Roots of a quadratic equation are rational and distinct, then its Discriminant must be ______

If α, β are roots of , then α  + β is _________

Cube Roots of "-1" are ______

  =   ____________

If 1 + ω  + ω²  are cube roots of unity, then ω + ω²  = _______

If α , β are the roots of      , then αβ is ______

= _______

Sum of the cube roots of unity is ________

If b²-4ac <0, then the roots of  ax²+bx+c=0 are __________

If ω is complex cube root of unity, then   = __________

If ω us complex cube root of unity, then = _______

If Roots of any Quadratic Equation are Real but distinct , then its Discriminant must be ___________

The Sum of five times a number and the square of the number is ________

Which of the following shows "the product of two consecutive positive number"

Cube Roots of -27 are _________

If 1, ω, ω² are cube roots of unity, then 1 + ω = _______

If b²-4ac > 0, but not a perfect square then roots of    ax²+bx+c=0  are _______

α² + β² is equal to ________

(1 - 3ω -  3ω² )³ = _________

Discriminant of 2x² - 7x + 1 = 0 is __________

The Nature of the Roots of equation ax²+bx+c=0 can be determined by _______

Discriminant of x² - 3x + 3 = 0    is _________

Two Square Roots of unity are _________

If 1, ω, ω² are cube root of unity, then 1 + ω + ω² = _______ ω³

= _______

The discriminant of    ax² + bx + c = 0   is ________

Which of the following are symmetric function of the roots of a quadratic equation?

If ω is complex cube root of unity, then = _________

If roots of a quadratic equation are irrational and distinct, then Discriminant is ________

The Roots of   x² + 8x + 16 = 0  , are _______

If α, β are the roots of x²-x-1=0 , then sum of the roots 2α and 2β is ________

If      then    ω² = ___________

(Which Option is Correct)

The Equation is called ________

Cube Roots of 64 are _______

If Roots of a Quadratic Equation are real, irrational and unequal then possible value of Discriminant will be _________

Roots of the equation   4x²-4x+1=0 are _______

is equal to __________

(Which Option is Correct)

If Roots of a Quadratic Equation are imaginary, and unequal, the possible value of Discriminant is _________

If length and width of any rectangle are x & y respectively then Parameter of said rectangle can be shown as ________

Roots of the equation    are ________

If ω and ω² are complex cube root of unity, then ω.ω² = ________

If α, β are the roots of px²+qx+r=0 , then the sum of the roots 2α and 2β is ________

Roots of any quadratic equation determined as Imaginary, as its Discriminant is ____