Question

if the roots of the quadratic equation are m+n and m-n,then the quadratic equation will be

Answer 1

Hey there !

Solution:

Roots: ( m + n ) and ( m - n )

According to formula, Quadratic Equation is of the form,

x² - ( Sum of roots ) x + Product of roots

So let us calculate the sum of roots,

=> Sum of Roots = m + n + m - n

=> Sum of roots = 2m

Product of roots = ( m + n ) ( m - n )

This is of the form, ( a + b ) ( a - b ) which can be written as ( a² - b² ). Hence writing the above equation in the same format we get,

=> Product of roots = m² - n²

Hence the general form of Quadratic Equation is:

x² - ( 2m ) x + ( m² - n² ) = 0

Hope my answer helped !