document.write( "Question 439356: I am trying to finish up an assignment and am very confused with the next two problems. For the next two problems it advices: Determine the number of real-number solutions to the equation from the given graph. Ofcourse I cannot put the graph in here but it also says 4^x2 + 1 = 4x, given the graph of y = 4x - 4^x2 -1. The next one states: x^2 + x - 11 = 0, given the graph of y = x^2 + x - 11.
\n" ); document.write( "I hope you can help without seeing the graphs. Thank you! \n" ); document.write( "

Algebra.Com's Answer #303671 by robertb(5830) $\"\"$ $\"About$

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Use the discriminant for $\"ax%5E2+%2B+bx+%2B+c+=+0\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"b%5E2+-+4ac\"$ . If the discriminant is positive, then there are two real solutions.
\n" ); document.write( "If the discriminant is 0, then there are two identical real solutions (multiplicity 2).\r
\n" ); document.write( "\n" ); document.write( "If the discriminant is negative, there are no real solutions (or two distinct complex solutions). \n" ); document.write( "

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