Question

solve the given quadratc equation and factor the polynomial
iz^2-z+i=0​

Answer 1

Answer:

$z=\frac{-i\pm\sqrt{5} i}{2}$

Step-by-step explanation:

*Advice

To apply quadratic equation,

to make the coefficient of x² a real number is better.

Multiply -i to both sides, we get this.

• $z^2+iz+1=0$

Apply quadratic formula, and we get the value of z.

∴ $z=\frac{-i\pm\sqrt{-1-4}}{2} =\frac{-i\pm\sqrt{5} i}{2}$