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受欢迎的代数 >

3p^3+(p+3)p^2+(7-p-4p^2)p-4=0

解答

3 p^{3} + (p + 3) p^{2} + (7 - p - 4 p^{2}) p - 4 = 0

解答

p = \frac{1}{2}, p = - 4

+1

十进制

p = 0.5, p = - 4

求解步骤

3 p^{3} + (p + 3) p^{2} + (7 - p - 4 p^{2}) p - 4 = 0

展开

3 p^{3} + (p + 3) p^{2} + (7 - p - 4 p^{2}) p - 4 : 2 p^{2} + 7 p - 4

2 p^{2} + 7 p - 4 = 0

使用求根公式求解

p_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 ( - 4 )}{2 \cdot 2}

7^{2} - 4 \cdot 2 (- 4) = 9

p_{1, 2} = \frac{- 7 \pm 9}{2 \cdot 2}

将解分隔开

p_{1} = \frac{- 7 + 9}{2 \cdot 2}, p_{2} = \frac{- 7 - 9}{2 \cdot 2}

p = \frac{- 7 + 9}{2 \cdot 2} : \frac{1}{2}

p = \frac{- 7 - 9}{2 \cdot 2} : - 4

二次方程组的解是:

p = \frac{1}{2}, p = - 4

作图

流行的例子

化简 2(sqrt(7)+sqrt(5))^2

s im pl i f y 2 (7 + 5)^{2}

化简 (2n)/(6n+4)*(3n+2)/(3n-2)

s im pl i f y \frac{2 n}{6 n + 4} \cdot \frac{3 n + 2}{3 n - 2}

28 = 4 \cdot (7 - x)

- 3 (3 x - 5) = 6 x

(x + 5) (x - 1) = 0