document.write( "Question 868671: Solve 4x^2+6x+10 =0 expressing the result in simplest a+bi form. I tried to solve for x but no factors would be able to make a positive 6 and 10. Then I tried completing the square but I couldn't work it out. Maybe I did it wrong. Thanks a lot \n" ); document.write( "
Algebra.Com's Answer #523733 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 4x^2+6x+10 = 0 \n" ); document.write( "divide both sides of the = by 2 \n" ); document.write( "2x^2 +3x +5 = 0 \n" ); document.write( "use quadratic formula \n" ); document.write( "x = (-3 + square root(9 - 4*2*5)) / 4 = ( -3 + square root (-31)) / 4 \n" ); document.write( "x = (-3 - square root(9 - 4*2*5)) / 4 = ( -3 - square root (-31)) / 4 \n" ); document.write( "note that the square root of (-31) = square root of 31 times i where i = square root of -1, therefore \n" ); document.write( "x = (-3 + 5.57i) / 4 = -0.75 + 5.57i/4 = -0.75 + 1.39i \n" ); document.write( "x = (-3 - 5.57i) / 4 = -0.75 - 1.39i\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |