document.write( "Question 967848: how many x intercepts does this equation have? y=4x^2+x+2 \n" ); document.write( "

Algebra.Com's Answer #591558 by Theo(13342) $\"\"$ $\"About$

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y = 4x^2 + x + 2
\n" ); document.write( "it's a quadratic so you can factor it.
\n" ); document.write( "easiest way is to graph it.
\n" ); document.write( "graph looks like this:
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4x%5E2%2Bx%2B2%29\"$
\n" ); document.write( "it doesn't cross the x-axis.
\n" ); document.write( "without graphing, you would have had to solve.
\n" ); document.write( "give it the discriminant test.
\n" ); document.write( "discriminant is b^2 - 4ac
\n" ); document.write( "equation is 4x^2 + x + 2 = 0
\n" ); document.write( "a = 4
\n" ); document.write( "b = 1
\n" ); document.write( "c = 2
\n" ); document.write( "b^2 - 4ac = 1 - 4*4*2 which is negative.
\n" ); document.write( "distriminant is negative so the roots are not real.
\n" ); document.write( "roots are not real so the graph goesn't cross the x-axis.\r
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