Homework Question #3

Question

Find a possible integer value for `b` so that the equation 2x^{2}+bx+1=0 has two imaginary solutions.

Answer 1

An equation of the form Ax² + Bx + C = 0, where A is nonzero has imaginary solutions only when

B² - 4AC < 0.

So, 2x² + bx + 1 = 0 has imaginary solutions only when b² - 8 < 0. b² < 8 So, for example, b = 2 works.