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 Wednesday 28th of February

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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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You have learned to solve quadratic equations by four different methods: the even-root property, factoring, completing the square, and the quadratic formula. The even-root property and factoring are limited to certain special equations, but you should use those methods when possible. Any quadratic equation can be solved by completing the square or using the quadratic formula. Because the quadratic formula is usually faster, it is used more often than completing the square. However, completing the square is an important skill to learn.

Methods for Solving ax2 + bx + c = 0

 Method Comments Examples Even-root property Use when b = 0. (x - 2)2 = 8x - 2 = Â± Factoring Use when the polynomial can be factored. x2 + 5x + 6 = 0(x + 2)(x + 3) = 0 Quadratic formula Solves any quadratic equation x2 + 5x + 3 = 0 Completing the square Solves any quadratic equation, but quadratic formula is faster x2 - 6x + 7 = 0x2 - 6x + 9 = -7 + 9 (x - 3)2 = 2