Question

What are the solutions to this problem? (use the quadratic formula and i) -2x^2+5x-11=0

Answer 1

Step-by-step explanation:

The quadratic formula is:

$x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}$

A, in this case, is -2.

B is 5

C is -11

x = $\frac{-5 \pm\sqrt{5^2-4(-2)(-11)} }{2(-2)}$

x = $\frac{-5\pm\sqrt{25 -88} }{-4}$

x = $\frac{-5\pm\sqrt{-63}}{-4}$

x = $\frac{-5+i\sqrt{63} }{-4}$ and $\frac{-5-i\sqrt{63} }{-4}$

We can break up the fraction to make it easier on our eyes

x = $\frac{5}{4}\pm\frac{i\sqrt{63} }{4}$

$\frac{\sqrt{63} }{4}$ ≈1.9843

x = $1.25 + 1.9843i\\1.25 - 1.9843i$

Answer 2

Answer:

Step-by-step explanation: