document.write( "Question 632055: How can you say that a Quadratic Equation is in a Standard Form? \r
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document.write( "Answer immediately. Thanks. \n" );
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Algebra.Com's Answer #397973 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |