document.write( "Question 731801: √(x+10)=2-x
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document.write( "√(x+3)=(x-1)/3
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document.write( "Full step-by-step instructions please \n" );
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Algebra.Com's Answer #447288 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "\n" ); document.write( "Square both sides and simplify. Simplify means get all terms on one side and just 0 on the other side, and make terms in the order of general form, decreasing degree of x. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those instructions might be a little too brief, so here is a refinement:\r \n" ); document.write( "\n" ); document.write( "The right hand member contains a variable and a constant term. The left hand member uses the variable term and a constant term both inside the square root function. We want to unwrap the left hand member, so we start by squaring BOTH sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(1) Square both sides. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2) Use inverse operations to collect the terms to one side and have zero on the other side; we can detect by visual inspection that we'll have a quadratic equation. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(3) If you are interested in solving for x, you'd either use factoring or general solution to quadratic equation. \n" ); document.write( "See if the quadratic expression is easy to factor first... \n" ); document.write( "?*?=-6, ?+?=-5 \n" ); document.write( "-6*1=-6, -6+1=-5, that is the pair of constants for the linear binomials. \n" ); document.write( " |