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Solve the following quadratic equations by factorization method

x^{2} + 1 = 0

9x^{2} + 4 = 0

x^{2} + 2x + 5 = 0

4x^{2} – 12x + 25 = 0

x^{2} + x + 1 = 0

Solve the following quadratics

4x^{2} + 1 = 0

x^{2} – 4x + 7 = 0

x^{2} + 2x + 2 = 0

5x^{2} – 6x + 2 = 0

21x^{2} + 9x + 1 = 0

x^{2} – x + 1 = 0

17x^{2} – 8x + 1 = 0

27x^{2} – 10x + 1 = 0

17x^{2} + 28x + 12 = 0

21x^{2} – 28x + 10 = 0

8x^{2} – 9x + 3 = 0

13x^{2} + 7x + 1 = 0

2x^{2} + x + 1 = 0

–x^{2} + x – 2 = 0

Solve the following quadratic equations by factorization method:

x^{2} + 10ix – 21 = 0

x^{2} + (1 – 2i)x – 2i = 0

6x^{2} – 17ix – 12 = 0

Solve the following quadratic equations:

x^{2} – (5 – i)x + (18 + i) = 0

(2 + i)x^{2} – (5 – i)x + 2(1 – i) = 0

x^{2} – (2 + i)x – (1 – 7i) = 0

ix^{2} – 4x – 4i = 0

x^{2} + 4ix – 4 = 0

x^{2} – x + (1 + i) = 0

ix^{2} – x + 12i = 0

2x^{2} – (3 + 7i)x + (9i – 3) = 0

Write the number of real roots of the equation.

If a and b are roots of the equation , then write the value of .

If roots α, β of equation satisfy the relation , then write the value of p.

If is a root of the equation, then write the values of p and q.

If the difference between the roots of the equation is 2 write the values of a.

Write the roots of the equation

Write the number of quadratic equations, with real roots, which do not change by squaring their roots.

If α, β are roots of the equation , write an equation whose roots are and .

If α, β are roots of the equation , then write the value of .

Mark the Correct alternative in the following:

The complete set of values of k, for which the quadratic equation has equal rots, consists of

For the equation , the sum of the real roots is

If a, b are the roots of the equation , then

If α, β are roots of the equation , then 1/α + 1/β is equal to

The values of x satisfying are

The number of real roots of the equation is

If α, β are the roots of the equation , then

If α, β are the roots of the equation the roots of the equation , then

The number of real solutions of is

The number of solutions of is

If x is real and , then

If the roots of are two consecutive integers, then is

The value of a such that and may have a common root is

The values of k for which is quadratic equation has real and equal roots are

If one root of the equation is 4, while the equation has equal roots, the value of q is

The value of p and q for which p, q are the roots of the equation are

The set of all vales of m for which both the roots of the equation are real and negative, is

The number of roots of the equation is

If α and β are the roots of , then the value of is

If α, β are the roots of the equation , then are the roots of the equation

If the difference of the roots of is unity, then

The least value of k which makes the roots of the equation imaginary is

The equation of the smallest degree with real coefficients having 1 + i as one of the roots is