Can someone help me with this math problem?

Question

anonymous · Answer

Which expression gives the solutions of -5+2x^2=-6x?

jim_thompson5910 · Answer

the first step is to get the equation into ax^2+bx+c = 0 form

jim_thompson5910 · Answer

so let's do that

-5+2x^2=-6x
-5+2x^2+6x=-6x+6x
2x^2+6x-5 = 0

can you tell me what the values of a,b,c are ?

anonymous · Answer

?

jim_thompson5910 · Answer

do you see how I got 2x^2+6x-5 = 0 so far?

anonymous · Answer

this was more of like a check my answer xD i got C

anonymous · Answer

did you get C?

jim_thompson5910 · Answer

yes C is the correct answer

anonymous · Answer

thanks dude

jim_thompson5910 · Answer

np

anonymous · Answer

can you help me with another one? @jim_thompson5910

it says how many real solutions are there for 
5x^2+7x+2

a. 0
b. 1 ♥♥♥
c. 2
d. 5

my answer is ♥

jdoe0001 · Answer

you may want to post anew, thus we all can see it, more eyes

how many real solutions?   check your Descarte Rule of Signs

jim_thompson5910 · Answer

5x^2+7x+2 has a = 5, b = 7, c = 2

discriminant

D = b^2 - 4ac
D = 7^2 - 4*5*2
D = 49 - 40
D = 9

the discriminant is 9, which is a positive number

since D > 0, this means there are 2 distinct solutions

furthermore, the discriminant D = 9 is a perfect square, so the two solutions are going to be rational solutions (fractions of whole numbers)