SOLUTION: I have these two quadratic equations that I have to solve. {{{ 5x^2 + x + 2 = 0 }}} and {{{ 2x^2 + 6x + 12 = 0 }}} I know how to factor and I'm aware of the zero produ

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have these two quadratic equations that I have to solve. {{{ 5x^2 + x + 2 = 0 }}} and {{{ 2x^2 + 6x + 12 = 0 }}} I know how to factor and I'm aware of the zero produ      Log On


   



Question 103417This question is from textbook
: I have these two quadratic equations that I have to solve.
+5x%5E2+%2B+x+%2B+2+=+0+
and
+2x%5E2+%2B+6x+%2B+12+=+0+
I know how to factor and I'm aware of the zero product property...but I'm not sure that regular factoring is the right way to solve this problem. Can you help me out, please?
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5x^2 + x + 2 = 0
Use the quadratic formula to get:
x = [-1 +- sqrt(1-4*5*2)]/10
x = [-1 +- sqrt(-39)]/10
x = [-1 + isqrt(39)]/10 or x = [-1 - isqrt(39)]/10
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and
2x^2 + 6x + 12 = 0
x^2+3x+6=0
x = [-3 +- sqrt(9-4*1*6)]/2
x = [-3 + isqrt(15)]/2 or x = [-3 -isqrt(15)]/2
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Cheers,
Stan H.