Question

The number of common roots of the equations
$x^2$ – 7x + 10 = 0 and $x^2$ – 10x + 16 = 0 is

• A. 1
• B. 3
• C. 2
• D. 0

Answer 1

The correct option is A

1

Step 1:- For, $x^2$ – 7x + 10 = 0, roots are 2 and 5

Step 2:- For, $x^2$ – 10x + 16 = 0, roots are 2 and 8.

Step 3:- Thus common root is only one, i.e. is 2.