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受欢迎的代数 >

m^2+16m-32=-7

解答

m^{2} + 16 m - 32 = - 7

解答

m = - 8 + 89, m = - 8 - 89

+1

十进制

m = 1.43398 \dots, m = - 17.43398 \dots

求解步骤

m^{2} + 16 m - 32 = - 7

将

7

para o lado esquerdo

m^{2} + 16 m - 25 = 0

使用求根公式求解

m_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 1 \cdot ( - 25 )}{2 \cdot 1}

1 6^{2} - 4 \cdot 1 \cdot (- 25) = 289

m_{1, 2} = \frac{- 16 \pm 2 89}{2 \cdot 1}

将解分隔开

m_{1} = \frac{- 16 + 2 89}{2 \cdot 1}, m_{2} = \frac{- 16 - 2 89}{2 \cdot 1}

m = \frac{- 16 + 2 89}{2 \cdot 1} : - 8 + 89

m = \frac{- 16 - 2 89}{2 \cdot 1} : - 8 - 89

二次方程组的解是:

m = - 8 + 89, m = - 8 - 89

作图

流行的例子

completesquare 4x^2+3x=0

co m pl e t es q u a re 4 x^{2} + 3 x = 0

9 x^{2} - 3 x + 1 = 0

x^{2} = - 169

因式分解 x^2-2x-48=0

f a c t or x^{2} - 2 x - 48 = 0

solvefor x,x^2-3xy+y^2=1

so l v e f or x, x^{2} - 3 x y + y^{2} = 1