document.write( "Question 194142: Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.\r
\n" ); document.write( "\n" ); document.write( "square root 2x^2-4x-7 square root 2=0\r
\n" ); document.write( "\n" ); document.write( "not sure how to make the square root symbol. Thank you
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Algebra.Com's Answer #145720 by RAY100(1637)\"\" \"About 
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sqrt(2) x^2 -4x -7sqrt2 =0
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\n" ); document.write( "discriminant
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\n" ); document.write( "sq rt (b^2 -4 a c),,,where a=sqrt2,,,b=(-4),,,,c=(-7sqrt2)
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\n" ); document.write( "subst
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\n" ); document.write( "sq rt ((-4)^2 -4 (sqrt2) (-7sqrt2) )
\n" ); document.write( "sq rt( 16 +2*4*7)
\n" ); document.write( "sqrt 72
\n" ); document.write( "8.48
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\n" ); document.write( "since discr is >0, two answers
\n" ); document.write( "remember if less than 0,,,,no solution,,,(complex no )
\n" ); document.write( "and if = 0,,,, only one solution
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\n" ); document.write( "plugging this into the full quadratic eqn we find,
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\n" ); document.write( "x= ( 4+/- 8.48 ) /2.828,
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\n" ); document.write( "or x = 4.415, or x= -1.586
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\n" ); document.write( "check by subst back into origonal, both ok
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