Question

4x square - 4x -3 + 1
find the zeros​

Answer 1

Step-by-step explanation:

${4x}^{2} - 4x - 3 + 1 \\ \\ \bf\implies: {4x}^{2} - 4x - 2 \\ \\ \bf\implies: {2x}^{2} - 2x - 1 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ \bf\implies: x = \frac{ - ( - 2) \pm \sqrt{ {( - 2)}^{2} - 4.2.1} }{2.2} \\ \\ \bf\implies: x = \frac{2 \pm \sqrt{4 - 8}}{4} \\ \\ \bf\implies: x = \frac{2 \pm \sqrt{ - 4} }{4} \\ \\ \bf\implies: x = \frac{2 \pm 4i}{4} \: \: \: \: \red {\: i = \sqrt{ - 1}} \\ \\ \bf\boxed{x = \frac{2 + 4i}{4} }\: \: \: \boxed{x = \frac{2 - 4i}{4} }$