document.write( "Question 290408: solve
\n" ); document.write( "x^2 is greater than or equal to 7+3x \n" ); document.write( "

Algebra.Com's Answer #210162 by stanbon(75887) $\"\"$ $\"About$

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solve
\n" ); document.write( "x^2 is greater than or equal to 7+3x
\n" ); document.write( "----------------------------
\n" ); document.write( "x^2 >= 7+3x\r
\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "Solve the Equality which is the boundary of the inequality.
\n" ); document.write( "Solve x^2 - 3x - 7 = 0
\n" ); document.write( "x = [3 +- sqrt(9 -4*1*-7)]/2
\n" ); document.write( "---
\n" ); document.write( "x = [3 +- sqrt(37)]/2
\n" ); document.write( "---
\n" ); document.write( "x = 4.54.. or x = -1.54..
\n" ); document.write( "--------------------------------
\n" ); document.write( "Mark those points on a number line.
\n" ); document.write( "---
\n" ); document.write( "To solve the inequality, test a check value in
\n" ); document.write( "each of the three resulting intervals.
\n" ); document.write( "x^2-3x-7 >= 0\r
\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "Check x = -2: 4+6-7>0 ; true, so solutions in (-inf,-1.54)
\n" ); document.write( "Check x = 0: 0 - 0-7 > 0 ; false
\n" ); document.write( "Check x = 5: 25-15-7 > 0 ; true so solutions in (4.54,+inf)
\n" ); document.write( "==========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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