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Mathematics 50 Online
lock:

Math

lock:

http://prntscr.com/l0jk5y ik there are no real roots but i don't understand how to get to that point

Vocaloid:

a) fundamental theorem of algebra says that the number of total roots is equal to the highest degree so since the highest degree is 2 total roots b) use the quadratic equation |dw:1538332988809:dw| plugging in a = 2, b = 4, c = 7 will give you the two irrational roots

lock:

so -1+1 and -1-1 ?

Vocaloid:

[ -4 +/- sqrt(4^2 - 4*2*7) ] / 2*2 = [-4 +/- sqrt(-40)]/4 = -1 +/- sqrt(-40)/4 = -1 +/- 2i*sqrt(10)/4 = -1 +/- i*sqrt(10)/2

Vocaloid:

therefore, plugging in a, b, and c into the quadratic equation gives you 2 roots -1 + (sqrt(10)/2)i and -1 - (sqrt(10)/2)i

lock:

i really cant see if you put in the equations or not

Vocaloid:

x = [ -b +/- sqrt(b^2 - 4*a*c) ] / (2a) I plugged in a = 2, b = 4, c = 7 and got -1 + (sqrt(10)/2)i and -1 - (sqrt(10)/2)i after simplifying.

lock:

thank you very much !

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