Solution: Given, y 2 – 5y + 6 = 0 is the quadratic equation. Solved example: If y 2 – 5y + 6 = 0 is the quadratic equation, find the roots. The quadratic formula is applied to directly determine the roots of a quadratic equation from the standard structure of the equation.īy replacing the values of a, b and c, we can easily find the roots of the given equation. Quadratic Equation Using Quadratic Formula This method of simplifying a quadratic equation is known as the factorisation method. Thus, x = 1 and x =3/2 are said to be the roots of the given quadratic plynomial equation. In this step, we have denoted the quadratic polynomial as the multiplication of its two factors. We further simplify the middle part of the equation by finding two numbers (-2 and -4) ina way that their addition is equal to the coefficient of x and their multiplication is equal to the multiplication of the coefficient of x2 and the constant. Quadratic Equation by Factorisation Method In graphical representation, the roots of a quadratic equation can be said to be the points where the graph of the quadratic polynomial dissects the x-axis. A quadratic equation can have two different real roots, two equal roots and also real roots may not exist at all for them. If p is a root of the quadratic equation ax2+bx+c=0, then ap 2+bp+c=0. The roots of the quadratic equation for which the values of x are given as a quadratic equation are known as quadratic polynomial. ![]() ‘b’ is the coefficient of x and is known as the linear coefficient. Here, all a, b and c are real numbers and a is not equal to zero. The standard form of a Quadratic Polynomial is ax 2+bx+c=0. Any equation in the form a(x) = b, where a(x) is a polynomial of degree 2 and b is a constant, is said to be a quadratic equation. When we try to equate a quadratic polynomial with a constant, the resultant equation is in the form of quadratic equation. A quadratic polynomial is a polynomial in the form of ax 2+bx+c, where a, b and c are said to be real numbers and a is not equal to zero.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |