Which of the following equations has a solution in common with x^2 - 7x + 10 = 0 ?
Pick one
A) x^2 - 3x - 10 = 0  B) 4x^2 + 9x + 2 = 0  C) 4x^2 + 6x + 2 = 0  D) x^2 + 10x + 25 = 0  E) none of the above
Given : x^2 - 7x + 10 = 0 =&gt; (x-2) (x-5) = 0 =&gt; 2 and 5 are the roots..   A. x^2 - 3x - 10 = 0 =&gt; (x+2) (x-5)   B. 4x^2 + 9x + 2 = 0 =&gt; (4x+1) (x+2)   C. 4x^2 + 6x + 2 = 0 =&gt; (2x+1) (2x+2)   D. x^2 + 10x + 25 = 0 =&gt; (x+5) (x+5)   None of the answer equations have exactly both the same roots as the question equation, but at least one of them does share one of the two roots.   So IMO "A" is correct answer... because it shares the one root (part of the solution), 5, from the (x-5) portion of its simplification.
<result>A</result>
Which of the following equations has a solution in common with x^2 - 7x + 10 = 0 ?