Quadratic Equations | Introduction | Lecture 01 | Karan soni

Form quadratic equation whose roots are : 2,5

Trigonometry. Trigonometric Functions. Introduction . Angles Trigonometric Functions Of Sum And Difference . Trigonometric Equations. Introduction to trigonometry.

Statement -1 : There is just on quadratic equation with real coefficients, one of whose roots is 1/(3+sqrt7) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots occur in pair.

Statement -1 : There is just one quadratic equation with real coefficient one of whose roots is 1/(sqrt2 +1) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots are in conjugate pairs.

A quadratic equation is chosen from the set of all quadratic equations which are unchanged by squaring the roots. The chance that the chosen equation has equal root, 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.

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

A quadratic equation with integral coefficients has integral roots. Justify your answer.

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