Answer:
b = -8
Step-by-step explanation:
In order to find the value of "b", use the fact that x=4 is a solution to the equation. Replace "x" with the value "4" and make the expression equal zero (since x=4 is a solution), and solve for b:
[tex]y=x^2+bx+16\\0=(4)^2+b(4)+16\\0=16+4b+16\\0=32+4b\\-32=4b\\b=\frac{-32}{4} \\b=-8[/tex]
Therefore b must be equal to "-8" for x=4 be a solution to the equation.
