document.write( "Question 919615: What is the value of m in the equation 3x2 – 5x = m if one root is equal to zero? \n" ); document.write( "
Algebra.Com's Answer #557851 by Theo(13342)\"\" \"About 
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if one of the roots is equal to 0, then f(0) is equal to 0.
\n" ); document.write( "your equation is 3x^2 - 5x = m
\n" ); document.write( "subtract m from both sides of the equation to get:
\n" ); document.write( "3x^2 - 5x - m = 0
\n" ); document.write( "the equation is now in standard form of ax^2 + bx + c = 0
\n" ); document.write( "if one root is equal to zero, then you should be able to replace x with 0 and the resulting equation should be true.
\n" ); document.write( "replace x with 0 and the equation becomes:
\n" ); document.write( "3*0^2 - 5*0 - m = 0
\n" ); document.write( "this becomes 0 - m = 0
\n" ); document.write( "this equation is true if and only if m = 0
\n" ); document.write( "that's your solution.
\n" ); document.write( "m = 0
\n" ); document.write( "your equation becomes:
\n" ); document.write( "3x^2 - 5x = 0
\n" ); document.write( "you can factor this using the quadratic formula or by completing the square.
\n" ); document.write( "when you do, you will get:
\n" ); document.write( "x = 0 or x = 5/3.\r
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