document.write( "Question 380225: f(x)=2x^2+4x+5 \n" ); document.write( "

Algebra.Com's Answer #269849 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi,
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document.write( "f(x)=2x^2+4x+5  y=intercept Pt(0,5)
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document.write( "the vertex form of a parabola,  where(h,k) is the vertex
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document.write( "f(x)=2[(x^2 +2x} +5
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document.write( "f(x)=2[(x+ 1)^2 -1} +5
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document.write( "f(x)=2(x+ 1) -2 + 5
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document.write( "f(x)=2(x+ 1)+3
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document.write( "vertex Pt(-1,3), parabola opens upward (a=2 and is > than zero)
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document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
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document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
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document.write( "  First, we need to compute the discriminant : .
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document.write( "  
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document.write( "  The discriminant -24 is less than zero. That means that there are no solutions among real numbers.

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document.write( "  If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

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document.write( "  
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document.write( "      In the field of imaginary numbers, the square root of -24 is + or - . 
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document.write( "  
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document.write( "      The solution is 
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document.write( "  Here's your graph:
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