Question

Product of the roots of quadratic equation x^2 - 9x + 18 = 0 is double
the sum of its roots:

1.)True
2.)False​

Answer 1

Answer: True

Step-by-step explanation:

Finding roots of the equation $x^{2} -9x+18=0$

$x^{2} -9x+18=0$

$x^{2} - 6x - 3x +18= x (x-6) -3 (x-6)= (x-6) (x-3)$  

$x=3,6$

Product of roots = (3)*(6) = 18

Sum of roots = (3)+(6) = 9

Here, product of roots i.e 18 is the double of sum of products i.e 9.

Therefore, the answer is true.