document.write( "Question 632055: How can you say that a Quadratic Equation is in a Standard Form? \r
\n" ); document.write( "\n" ); document.write( "Answer immediately. Thanks.
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Algebra.Com's Answer #397973 by Theo(13342)\"\" \"About 
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the standard form of a quadratic equation is y = ax^2 + bx + c
\n" ); document.write( "a is the coefficient of the x^2 term
\n" ); document.write( "b is the coefficient of the x term
\n" ); document.write( "c is the constant.
\n" ); document.write( "to find the roots, you set the equation equal to 0.
\n" ); document.write( "this is the same as saying that y = 0.
\n" ); document.write( "the standard form then becomes ax^2 + bx + c = 0
\n" ); document.write( "why do you set the equation equal to 0?
\n" ); document.write( "it's because you want to find the real roots of the equation and, by definition, the real roots of the equation are the value of x when y is equal to 0.
\n" ); document.write( "on a graph it's the point where the equation crosses or touches the x-axis.
\n" ); document.write( "if the equation does not cross the x-axis, then the equation has no real roots.
\n" ); document.write( "you can find the roots by factoring, but that doesn't always work.
\n" ); document.write( "you can always find the roots by using the quadratic equation.
\n" ); document.write( "that formula is:
\n" ); document.write( "x = (-b +/- sqrt(b^2-4ac))/(2a)
\n" ); document.write( "the a, and the b,and the c in that equation requires the quadratic equation to be in standard form before you can identify them.
\n" ); document.write( "example:
\n" ); document.write( "5x^2 + 3x - 7 = 0
\n" ); document.write( "a is equal to 5
\n" ); document.write( "b is equal to 3
\n" ); document.write( "c is equal to -7\r
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