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
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document.write( "square root 2x^2-4x-7 square root 2=0\r
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document.write( "not sure how to make the square root symbol. Thank you \n" );
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Algebra.Com's Answer #145720 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! sqrt(2) x^2 -4x -7sqrt2 =0 \n" ); document.write( ", \n" ); document.write( "discriminant \n" ); document.write( ", \n" ); document.write( "sq rt (b^2 -4 a c),,,where a=sqrt2,,,b=(-4),,,,c=(-7sqrt2) \n" ); document.write( ", \n" ); document.write( "subst \n" ); document.write( ", \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 \n" ); document.write( ", \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 \n" ); document.write( ", \n" ); document.write( "plugging this into the full quadratic eqn we find, \n" ); document.write( ", \n" ); document.write( "x= ( 4+/- 8.48 ) /2.828, \n" ); document.write( ", \n" ); document.write( "or x = 4.415, or x= -1.586 \n" ); document.write( ", \n" ); document.write( "check by subst back into origonal, both ok \n" ); document.write( " |