document.write( "Question 325374: I do not understand how to find the zeros of a function. The following is the problem that is giving me problems.If you could help I would be much appreciative.\r
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document.write( "f(x)=x^2+3x-10\r
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document.write( "thanks
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document.write( "becca \n" );
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Algebra.Com's Answer #233006 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! f(x)=x^2+3x-10 \n" ); document.write( "--- \n" ); document.write( "Ways to find zeroes: \n" ); document.write( "1. graphing \n" ); document.write( "2. factoring \n" ); document.write( "3. Quadratic equation \n" ); document.write( "-=========================== \n" ); document.write( "Your Problem factors nicely: \n" ); document.write( "Think of 2 numbers whose product is -10 \n" ); document.write( "and whose sum is 3. \n" ); document.write( "The numbers are +5 and -2 \n" ); document.write( "--- \n" ); document.write( "Replace the 3x term by -5x+2x to get: \n" ); document.write( "x^2 +5x-2x - 10 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor the 1st two and the last two terms separately: \n" ); document.write( "x(x+5) -2(x+5) = 0 \n" ); document.write( "--- \n" ); document.write( "Factor again: \n" ); document.write( "(x+5)(x-2) = 0 \n" ); document.write( "Solve: \n" ); document.write( "x+5 = 0 or x-2 = 0 \n" ); document.write( "x = -5 or x = +2 \n" ); document.write( "---- \n" ); document.write( "Those are the zeroes. \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |