We want to use the quadratic formula to solve
4x² - 3 + 9 = 2x + 1
Move all terms to the left.
4x² + 6 - 2x - 1 = 0
4x² - 2x + 5 = 0
Compared to ax² + bx + c = 0, we have
a=4, b = -2, c = 5.
Use the quadratic formula.
[tex]x = \frac{1}{2a}[-b \pm \sqrt{b^{2}-4ac} ] \\ = \frac{1}{8} [2 \pm \sqrt{4-80}] \\ =0.25 \pm 1.0897i[/tex]
Answer:
0.25 + 1.0897i and 0.25 - 1.0897i
