document.write( "Question 83534: The question states: Find the descriminant and the nature of the roots for 4x^2+2x+5=0. I know the descriminant is -76 but what is the nature of the roots? \n" ); document.write( "

Algebra.Com's Answer #60059 by Earlsdon(6294) $\"\"$ $\"About$

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If the discriminant is positve, the solution has two real roots.
\n" ); document.write( "If the discriminant is negative, the solution has two complex conjugate roots.
\n" ); document.write( "If the discriminant is zero, the solution has one real root. This is also known as a double root.
\n" ); document.write( "In your problem, since the discriminant is negative (-76), the nature of the roots is they are complex conjugate roots.
\n" ); document.write( "If your quadratic equation were to be graphed, you would see that the curve (a parabola) does not intersect the x-axis.
\n" ); document.write( "The roots of the quadratic equation are simply the points on the x-axis where the curve intersects the x-axis.
\n" ); document.write( "Here's the graph of your equation so you can see the meaning of this.
\n" ); document.write( " $\"graph%28300%2C200%2C-5%2C5%2C-2%2C10%2C4x%5E2%2B2x%2B5%29\"$ \n" ); document.write( "

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