document.write( "Question 38549: square root of 18x2 multiplied by the square root of 12x\r
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document.write( "2) Divide 3+2i/1-1i\r
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document.write( "3) Write a quadratic equation whose solutions are 3+i and 3-i \n" );
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Algebra.Com's Answer #25953 by tran3209(100)![]() ![]() ![]() You can put this solution on YOUR website! (sqrt18X^2)(sqrt12x)--->(sqrt2.3^2X^2)(sqrt3.2^2X)--->(3Xsqrt2)(2sqrt3X) \n" ); document.write( "This is the answer: 6Xsqrt6X\r \n" ); document.write( "\n" ); document.write( "3+2i/1-i multiply the numerator & the denominator by the conjugate of 1-i: 1+i \n" ); document.write( "(3+2i)(1+i)/(1-i)(1+i)Apply the formula A^2-B^2=(A+B)(A-B)in the denominator \n" ); document.write( "3+3i+2i+2i^2/1-i^2 Replace i^2 by -1 \n" ); document.write( "3+5i+2(-1)/1-(-1)---->3+5i-2/1+1--->1+5i/2 The answer is 1+5i/2\r \n" ); document.write( "\n" ); document.write( "Let X=3+i---> X-3-i=0 \n" ); document.write( "let X=3-i---> X-3+i=0 \n" ); document.write( "The quadratic equation : (X-3-i)(x-3+i)=0 multiply the twa factions \n" ); document.write( "X^2-3X+iX-3X+9-3i-iX+3i-i^2=0 Replace i^2 by -1 \n" ); document.write( "X^2-6X+9-(-1)=0 \n" ); document.write( "X^2-6X+10=0 \n" ); document.write( "This is the answer X^2-6X+10=0 \n" ); document.write( " \n" ); document.write( " |