Question

If (2x2-3x+1)(2x2+5x+1) =9x2, then eqn has a) Four real roots
b) Two real and two imaginary
c) Four imaginary roots
d) none

Answer 1

(2x² - 3x + 1)(2x² +5x +1) = 9x²

2x⁴ + 1 +4x² + 4x³ + 2x - 15x² = 9x²

2x⁴ + 4x³ - 2x² + 2x + 1 = 0

So, there are four real roots, (a)