Question

find the area of the rectangle with equation x^2-5x+6=0 have roots length and breadth​

Answer 1

Answer:

6

Step-by-step explanation:

Length and breadth are roots of x² - 5x + 6 = 0

=> Area is the product of the roots of x² - 5x + 6 = 0

=> Area = 6

This is a general principle.

Given a quadratic ax² + bx + c,

the sum of the roots is -b/a and the product of the roots is c/a.

To see why, notice that if p and q are the roots, then

ax² + bx + c = a ( x - p ) ( x - q ).

Expanding the RHS reveals the results!