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受欢迎的代数 >

b^2+20b+46=-4

解答

b^{2} + 20 b + 46 = - 4

解答

b = 5 (2 - 2), b = - 5 (2 + 2)

+1

十进制

b = - 2.92893 \dots, b = - 17.07106 \dots

求解步骤

b^{2} + 20 b + 46 = - 4

将

4

para o lado esquerdo

b^{2} + 20 b + 50 = 0

使用求根公式求解

b_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 1 \cdot 50}{2 \cdot 1}

2 0^{2} - 4 \cdot 1 \cdot 50 = 102

b_{1, 2} = \frac{- 20 \pm 10 2}{2 \cdot 1}

将解分隔开

b_{1} = \frac{- 20 + 10 2}{2 \cdot 1}, b_{2} = \frac{- 20 - 10 2}{2 \cdot 1}

b = \frac{- 20 + 10 2}{2 \cdot 1} : 5 (2 - 2)

b = \frac{- 20 - 10 2}{2 \cdot 1} : - 5 (2 + 2)

二次方程组的解是:

b = 5 (2 - 2), b = - 5 (2 + 2)

作图

流行的例子

x^{2} + x^{2} = 2^{2}

12 x - 9 x^{2} = - 2

8 b^{2} - 6 b + 3 = 5 b^{2}

3 x^{2} + 3 x + 6 = 0

x^{2} + 4 (x - 2)^{2} = 4