Algebra QUADRATIC EQUATIONSStep 4. Check the roots.2x234xx212232342323212493834918927924949991991992x234xx212(2)234(2)(2)212(4)384183555Thus, the roots check.Quadratic equations in which the numerical constant c is zero can always be solved by factoring.One of the two roots is zero. For example, the quadratic equation 2x2 + 3x = 0 can be solvedby factoring. The factors are (x) and (2x + 3). Thus, the roots are x = 0 and x = - . If a32quadratic equation in which the numerical constant c is zero is written in general form, a generalexpression can be written for its roots. The general form of a quadratic equation in which thenumerical constant c is zero is the following:ax2+ bx = 0 (2-4)The left-hand side of this equation can be factored by removing an x from each term.x(ax + b) = 0 (2-5)Rev. 0 Page 23 MA-02
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