Answer: 3+1 = 4. Given eqn.: |x−2|2+|x−2|−2=0|x−2|2+|x−2|−2=0 Let , |x−2|=y|x−2|=y ⇒ y2+y−2=0⇒y2+y−2=0 ⇒y=−2or1⇒y=−2or1 ⇒|x−2|=−2,or1⇒|x−2|=−2,or1 Since the roots are real, |x−2|=1|x−2|=1 ⇒x=1or3⇒x=1or3 sum of the roots=3+1=4
Solve for the parameter a for which the sum of all of the real valued roots to the equation sin(√(ax – x2)) = 0 is exactly equal to 100.
Please share all the roots and share your working also?