Graph of quadratic equation when coefficient of highest degree is negative

Graph of quadratic when coefficient of x^(2) is >1

Quadratic equation with complex coefficients

A quadratic equation with rational coefficients can have

The quadratic equation with real coefficients has one root 2i^(*)s

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.

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.

If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has "_____" sign. [positive/negative]