Find the type and number of solutions for the given equation.

2x² + 5 = 2x

Question

Find the type and number of solutions for the given equation.

2x² + 5 = 2x

shamil98 · Answer

2x^2 -2x + 5 = 0

b^2 - 4ac = discriminant

shamil98 · Answer

the discriminant determines what type of solutions you will have

anonymous · Answer

-36?

shamil98 · Answer

In this case 4 - 4(5)(2)  = -36
A negative discriminant means no real solutions, and two complex solutions.

anonymous · Answer

so what would the type of number be?

shamil98 · Answer

complex ..

shamil98 · Answer

the numbers are complex as in with i

anonymous · Answer

so what would i put for an answer? Like, i understand how to do the work, but what to put for the answer is where i'm bunked

shamil98 · Answer

imaginary numbers, two complex solutions.

anonymous · Answer

$$2x^2 - 3x = 8$$
$$2x^2 -3x -8 = 0$$
$$b^2 - 4ac =  (-3)^2 - 4(2)(-8)$$
$$9 + 64 = 73$$

@shamil98

shamil98 · Answer

If the discriminant is greater than zero that are two real solutions.

anonymous · Answer

so what would i write for the answer?
"two real solutions"?

shamil98 · Answer

Yes.

anonymous · Answer

mind helpin me out with a couple more? @shamil98

shamil98 · Answer

ask them in the question box and close this one ,please.

anonymous · Answer

okay, MEDALS AWAY!!!!!