How many and of what type are the solutions to x2 + 9x + 10 = 0?

a. No real solutions
b. Two identical rational solutions
c. Two different rational solutions
d. Two irrational solutions

Question

How many and of what type are the solutions to x2 + 9x + 10 = 0?

	 a. No real solutions	
	 b. Two identical rational solutions	
	 c. Two different rational solutions	
	 d. Two irrational solutions

anonymous · Answer

@iGreen

igreen · Answer

I would say D. https://www.desmos.com/calculator

anonymous · Answer

well there will be 2 solutions because this is a trinomial and it has the power of 2

igreen · Answer

^

Exactly

anonymous · Answer

yup

anonymous · Answer

thx

unklerhaukus · Answer

check the discriminant 

the discriminant of 
x^2 + 9x + 10 = 0  

∆ = (9)^2-4(1)(10)

anonymous · Answer

ok

unklerhaukus · Answer

is the discriminant  less than, equal to  or grater than zero?

unklerhaukus · Answer

if  $Δ=0$  there is two equal solutions
if  $Δ>0$  there are two different solutions
if  $Δ<0$ there are no real solutions
if $∆\neq0=d^2$ (for some integer $d$) the solutions are rational