If m and n are the roots of the quadratic equation x^2−(2√5)x−2=0, the value of m2+n2 is: Choose the correct option:
A) 18
B) 20
C) 22
D) 24
E) 32
Product of root, MN = C/A = -2/1 = -2   Sum of root, M+N = -B/A = -(-2\sqrt{5}/1 )= 2\sqrt{5}   (M+N)^2 = M^2 + N^2 + 2= 
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
4*5= 
<gadget id="calculator">4*5</gadget>
<output>20</output>
20   2MN= -2(2) = -4   M^2 + N^2 = 20 + 4= 
<gadget id="calculator">20 + 4</gadget>
<output>24</output>
24   ANSWER:24
<result>D</result>
If m and n are the roots of the quadratic equation x^2−(2√5)x−2=0, the value of m2+n2 is: