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受欢迎的代数 >

(2m+3)^2+6(2m+3)+5=0

解答

(2 m + 3)^{2} + 6 (2 m + 3) + 5 = 0

解答

m = - 2, m = - 4

求解步骤

(2 m + 3)^{2} + 6 (2 m + 3) + 5 = 0

展开

(2 m + 3)^{2} + 6 (2 m + 3) + 5 : 4 m^{2} + 24 m + 32

4 m^{2} + 24 m + 32 = 0

使用求根公式求解

m_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 32}{2 \cdot 4}

2 4^{2} - 4 \cdot 4 \cdot 32 = 8

m_{1, 2} = \frac{- 24 \pm 8}{2 \cdot 4}

将解分隔开

m_{1} = \frac{- 24 + 8}{2 \cdot 4}, m_{2} = \frac{- 24 - 8}{2 \cdot 4}

m = \frac{- 24 + 8}{2 \cdot 4} : - 2

m = \frac{- 24 - 8}{2 \cdot 4} : - 4

二次方程组的解是:

m = - 2, m = - 4

作图

流行的例子

x^{2} = - 54

1/x+1/(x+1)< 2/(x+6)

\frac{1}{x} + \frac{1}{x + 1} < \frac{2}{x + 6}

9.2r+5.514=158.234

9.2 r + 5.514 = 158.234

-3/2 x<6-(2x-5)

- \frac{3}{2} x < 6 - (2 x - 5)

C= 5/9 (-13-32)

C = \frac{5}{9} (- 13 - 32)