Question

The sum and product of quadratic equation are 21 & 54 respectively. Write the quadratic equation.​

Answer 1

Step-by-step explanation:

The sum and product of quadratic equation are 21 & 54 respectively

quadratic eqn=x^2+21x+54

Answer 2

Given: sum and product of roots of a quadratic equation are 21 and 54 respectively

To find: the quadratic equation

Solution:

The general form of any quadratic equation:  a.x² + b.x + c = 0

Let A and B be the roots of this quadratic equation.

We know that,

Sum of roots : A + B = -b / a

                         -b / a = 21 (given)

Product of roots: A.B = c / a

                             c / a = 54 (given)

Now, a.x² + b.x + c = 0 can be written as -

x² - (Sum of roots).x + (Product of roots) = 0      (divide the equation by a)

x² - 21.x + 54 = 0 is the required equation.