Identify the number of solutions and its type for the equation 3x2 − 5x + 19 = 0.
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OpenStudy (anonymous):
do you want the answer or help
OpenStudy (anonymous):
um both
OpenStudy (anonymous):
ok do you know how to solve it
OpenStudy (anonymous):
no
OpenStudy (triciaal):
the highest power is 2 so this is a quadratic equation.
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OpenStudy (anonymous):
1 real
2 nonreal complex
1 nonreal complex
2 real
so it would be 2 real?
OpenStudy (anonymous):
those are the four multiple choices..
OpenStudy (triciaal):
do you know the quadratic formula? and are you familiar with the discriminant?
OpenStudy (anonymous):
no.. :/
OpenStudy (triciaal):
the general form for a quadratic equation is ax^2 + bx + c = 0 where a, b, c are non-zero integers
the discriminant b^2 - 4ac will tell the type of solution
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OpenStudy (anonymous):
oh okies
OpenStudy (triciaal):
let the discriminant = D
when D>0 2 real roots
when D = 0 1 same root
when D < 0 ( taking the square root of a negative ) then no real roots can be complex
OpenStudy (triciaal):
to solve for x you can factor the equation or use the formula