Question

Find the complex solutions of the equation:
3x^2-5x+7=0

Answer 1

Use the quadratic formula

Answer 2

what does it mean by complex solutions though

Answer 3

Complex solutions are those that may be written in the form \(a+bi\) with \(a,b\) real and \(i=\sqrt{-1}\).

Answer 4

Since it's a second degree polynomial, we know there will be two complex solutions (or only one with multiplicity 2).

Answer 5

25 you mean not 24

Answer 6

$$x=\frac{5\pm\sqrt{25-84}}6=\frac{5\pm\sqrt{-59}}6=\frac{5\pm i\sqrt{59}}6$$

Answer 7

Are the two solutions 2.1 or -0.45?

Answer 8

They are "complex solutions", not real numbers. Complex solutions implies that the solutions are complex numbers.

Answer 9

so how would i go about finding the solutions then?