31423302-b5e0-4c3b-9d26-c4e000479f1b 4 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

x f 10 x sin * :

x q x :

x f x q 2 1 sys

SmathSolve x f x q - 0 ≡ x 10 - 10 solve :

SmathSolve 8.42320365878294 - 7.06817606018846 - 2.85234187531749 - 0 2.85234188210519 7.06817480286763 8.4232014089945 71 mat

SmathSolve x f x q - 0 ≡ x 8.44 - 8.4 - solve :

SmathSolve 8.4232039323605 -

Collapse  "Dichotomy"  in  "Utilities" # Φ a b ε D RootDichotomy xn b a + (2 / : n 0 : xn Φ abs ε > xn Φ a Φ * 0 ≤ b xn : a xn : if xn b a + (2 / : n n 1 + : 31 line while xn 51 line :

x F x f x q - eval :

ε 1015 -^:

R x F 8.44 - 8.4 - ε D 11 mat : 8.42320393236049 - 11 mat

Sanity check 8.42320393236049 - f R - 71015 -^* - 11 mat

Solving for intersecting functions

x f x 20 - :

x q 5 :

Error message  'No real roots' sol x f x - 5 ≡ x 2030 solve :

SmathSolve x f x q - 0 ≡ x 2030 solve :

SmathSolve 25

sol SmathSolve SmathSolve f + 30 black 15 mat :

plot x f x q sol 31 sys :

plot