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受欢迎的代数 >

m^2+6m-16=-4

解答

m^{2} + 6 m - 16 = - 4

解答

m = - 3 + 21, m = - 3 - 21

+1

十进制

m = 1.58257 \dots, m = - 7.58257 \dots

求解步骤

m^{2} + 6 m - 16 = - 4

将

4

para o lado esquerdo

m^{2} + 6 m - 12 = 0

使用求根公式求解

m_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 12 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 12) = 221

m_{1, 2} = \frac{- 6 \pm 2 21}{2 \cdot 1}

将解分隔开

m_{1} = \frac{- 6 + 2 21}{2 \cdot 1}, m_{2} = \frac{- 6 - 2 21}{2 \cdot 1}

m = \frac{- 6 + 2 21}{2 \cdot 1} : - 3 + 21

m = \frac{- 6 - 2 21}{2 \cdot 1} : - 3 - 21

二次方程组的解是:

m = - 3 + 21, m = - 3 - 21

作图

流行的例子

solvefor x,4x^2+9y^2-16x+18y+25=0

so l v e f or x, 4 x^{2} + 9 y^{2} - 16 x + 18 y + 25 = 0

5 x^{2} - 50 x = - 135

x^2-5sqrt(2)x+12=0

x^{2} - 52 x + 12 = 0

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solvefor x,x^2-1=0

so l v e f or x, x^{2} - 1 = 0