The roots of \(7x^2 + x - 5 = 0\) are a and b. Compute \((a - 4)(b - 4)\).
By Vieta's Theorem
a + b = -1/7 ⇒ -4a -4b = 4/7
ab = -5/7
So
(a - 4) ( b - 4) =
ab + (- 4a - 4b ) + 16 =
-5/7 + 4/7 + 16 =
-1/7 + 16 =
111/7 ( CORRECTED )
hmm, incorrect.
OOPS....small error....now corrected !!!
Correct!
