document.write( "Question 99970: Please help. I have one last problem on my test due tonight. I know I am not giving you a lot of time but the person that usually helps me has ended up in the hospital and I am stuck on this last question.\r
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document.write( "Solve sqrt2x-1=sqrt4x-1 with another -1 outside the sqrt part.\r
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document.write( "Thanks if you have the time. \n" );
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Algebra.Com's Answer #72782 by fastblue(13)![]() ![]() ![]() You can put this solution on YOUR website! Square both sides,gives you 2x-1=((4x-1)SQRT-1)*((4x-1)SQRT-1) \n" ); document.write( " gives you 2x-1= (4x-1)+1-2(4x-1)SQRT, move everything to one side \n" ); document.write( "of the problem and square the following again. SQRT means the previous to the square root. \n" ); document.write( "(2x-1)-(4x-1) -1 = -2(4x-1)SQRT \n" ); document.write( "Divide each side by -2 before squareing again. \n" ); document.write( "This gives you XSQ + 1/4 + X = 4X-1 after squaring(sq means square) \n" ); document.write( "move everything to one side. \n" ); document.write( "Xsq -3x +5/4 = 0 \n" ); document.write( "Multiply by 4, this gives you 4Xsq - 12X + 5=0 \n" ); document.write( "this breaks down to (2x - 1)(2x - 5)=0 \n" ); document.write( "so x=-1/2 and x=2/5 \n" ); document.write( " |