Question

Quadratics

Answer 1

2x^2 - x + 1=0

Answer 2

you need to solve this?

Answer 3

yeah

Answer 4

is there a formula or do i just work it out to find x

Answer 5

well first thing is it won't factor so you need to use the quadratic formula and complete the square

Answer 6

quadratic formula is

x =[ -b +/- sqrt(b^2 - 4ac)] / 2a

Answer 7

i got 0.91 and -0.41

Answer 8

is that correct?

Answer 9

\(\large\color{black}{ \displaystyle 2x^2-x+1 =0 }\)
I am assuming you aren't planning to complete the square for this one (it's possible but is probably the hardest method here). So either factoring or quadratic formula.

lets find the descriminant first.
\(\large\color{black}{ \displaystyle \sqrt{(-1)^2 -4\cdot 2 \cdot 1 } =\sqrt{1-8}=\sqrt{-7}}\)

Answer 10

your solutions are imaginary (no real solutions)

Answer 11

so they are wrong?

Answer 12

yes, your answers are incorrect.

Answer 13

let me ask you, have you previously learned about \(i=\sqrt{-1}\) ?

Answer 14

no

Answer 15

so then (for you) it is no solution.