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受欢迎的代数 >

150=50x+x^2

解答

150 = 50 x + x^{2}

解答

x = 5 (31 - 5), x = - 5 (5 + 31)

+1

十进制

x = 2.83882 \dots, x = - 52.83882 \dots

求解步骤

150 = 50 x + x^{2}

交换两边

50 x + x^{2} = 150

将

150

para o lado esquerdo

50 x + x^{2} - 150 = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} + 50 x - 150 = 0

使用求根公式求解

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 \cdot 1 \cdot ( - 150 )}{2 \cdot 1}

5 0^{2} - 4 \cdot 1 \cdot (- 150) = 1031

x_{1, 2} = \frac{- 50 \pm 10 31}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 50 + 10 31}{2 \cdot 1}, x_{2} = \frac{- 50 - 10 31}{2 \cdot 1}

x = \frac{- 50 + 10 31}{2 \cdot 1} : 5 (31 - 5)

x = \frac{- 50 - 10 31}{2 \cdot 1} : - 5 (5 + 31)

二次方程组的解是:

x = 5 (31 - 5), x = - 5 (5 + 31)

作图

流行的例子

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j (x) = x^{2} - x + 1, j (2 a)

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