Quadratic equations that have a coefficient of squared term other than one i.e. a ≠ 1. Equations that are solved using 'ac&' method.
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When a = 1, solving equation type: x^2 + bx + c = 0, the New AC Method can immediately get the 2 real roots. The lengthy step for factoring by grouping and solving the 2 binomials are unnecessary.<br /> Example. Solve: x^2 + 31x + 108 = 0. Solving means finding 2 numbers knowing sum (-31) and product (108). Both roots are negative (Rule of Signs). Compose factor pairs of (c = 108). Proceed: (-1, -108)(-2, -54)(-3, -36)(-4, -27). OK. This last sum is -4 - 27 = -31 = -b. Then, the 2 real roots are: -4 and -27. No factoring !
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