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受欢迎的代数 >

p^2-2p-8=0

解答

p^{2} - 2 p - 8 = 0

解答

p = 4, p = - 2

求解步骤

p^{2} - 2 p - 8 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 8 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 8) = 6

p_{1, 2} = \frac{- ( - 2 ) \pm 6}{2 \cdot 1}

将解分隔开

p_{1} = \frac{- ( - 2 ) + 6}{2 \cdot 1}, p_{2} = \frac{- ( - 2 ) - 6}{2 \cdot 1}

p = \frac{- ( - 2 ) + 6}{2 \cdot 1} : 4

p = \frac{- ( - 2 ) - 6}{2 \cdot 1} : - 2

二次方程组的解是:

p = 4, p = - 2

作图

流行的例子

(y - 7)^{2} - 9 = 0

x (3 x + 1) = x^{2} + 15

(4 x + 9) (5 x - 7) = 0

0 = 3 (x - 2)^{2}

4 x^{2} = 31 x + 8