Find the range of value of b if \(2x^2 +bx +8 = 0\) has no real roots. Express your answer in interval.
Solution:
No real roots; the discriminant is less than zero.
\( b^2 -4ac < 0 \)
\(b^2 - 4(2)(8) \)< 0
b < 8
Values of b: [-8, 8]