Write negation of the Statement “Some quadratic equations have unequal roots”.​

The negative of the statement "some equations have real roots" is

Formation of quadratic equations with given roots

Write negation of the statement: “ pi is not a rational number”.

Write the negation of the statement : (p ⇒ q) ∧ r

Number of roots the quadratic equation have

Find the quadratic equation having roots 2/3 and 5.

The quadratic equation having roots -a,-b is "_____" .

Write whether the following statements are true or false. Justify your answers. (i) Every quadratic equation has exactly one root. (ii) Every quadratic equation has atleast one real root. (ii) Every quadratic equation has atleast two roots. (iv) Every quadratic equations atmost two roots. (v) If he coefficient of x^(2) and the constnat term of a quadratic equation have opposite sigh, then the quadratic equation has real roots. (vi) If the coefficient of x^(2) and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

Nature of Roots of Quadratic equation