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受欢迎的代数 >

(x+8)^2=16-x^2+9x

解答

(x + 8)^{2} = 16 - x^{2} + 9 x

解答

x = - \frac{7}{4} + i \frac{335}{4}, x = - \frac{7}{4} - i \frac{335}{4}

求解步骤

(x + 8)^{2} = 16 - x^{2} + 9 x

展开

(x + 8)^{2} : x^{2} + 16 x + 64

x^{2} + 16 x + 64 = 16 - x^{2} + 9 x

将

9 x

para o lado esquerdo

x^{2} + 7 x + 64 = 16 - x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} + 7 x + 64 = 16

将

16

para o lado esquerdo

2 x^{2} + 7 x + 48 = 0

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 \cdot 48}{2 \cdot 2}

化简

7^{2} - 4 \cdot 2 \cdot 48 : 335 i

x_{1, 2} = \frac{- 7 \pm 335 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 7 + 335 i}{2 \cdot 2}, x_{2} = \frac{- 7 - 335 i}{2 \cdot 2}

x = \frac{- 7 + 335 i}{2 \cdot 2} : - \frac{7}{4} + i \frac{335}{4}

x = \frac{- 7 - 335 i}{2 \cdot 2} : - \frac{7}{4} - i \frac{335}{4}

二次方程组的解是:

x = - \frac{7}{4} + i \frac{335}{4}, x = - \frac{7}{4} - i \frac{335}{4}

作图

流行的例子

3600+25x+1/2 x^2=(175-1/2 x)x

3600 + 25 x + \frac{1}{2} x^{2} = (175 - \frac{1}{2} x) x

4 x^{2} = 2 - 7 x

x^2+(x+5)^2+83=1200

x^{2} + (x + 5)^{2} + 83 = 1200

x^{2} + 35 = - 12 x

completesquare z^2-6z

co m pl e t es q u a re z^{2} - 6 z