HORTICULTURE

Detailed explanation-1: -The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.

Detailed explanation-2: -The roots of a function, f (x) are the values of f (x) at which f (x) touches or crosses the x-axis. Roots are also called x-intercepts or zeros.

Detailed explanation-3: -For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has:-If b2 – 4ac > 0 then the quadratic function has two distinct real roots.

Detailed explanation-4: -The values of x satisfying the quadratic equation are the roots of the quadratic equation (, ). The quadratic equation will always have two roots. The nature of roots may be either real or imaginary. A quadratic polynomial, when equated to zero, becomes a quadratic equation.