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受欢迎的代数 >

x^2+57=16x

解答

x^{2} + 57 = 16 x

解答

x = 8 + 7, x = 8 - 7

+1

十进制

x = 10.64575 \dots, x = 5.35424 \dots

求解步骤

x^{2} + 57 = 16 x

将

16 x

para o lado esquerdo

x^{2} + 57 - 16 x = 0

改写成标准形式

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

x^{2} - 16 x + 57 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 57}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 57 = 27

x_{1, 2} = \frac{- ( - 16 ) \pm 2 7}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 2 7}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 2 7}{2 \cdot 1}

x = \frac{- ( - 16 ) + 2 7}{2 \cdot 1} : 8 + 7

x = \frac{- ( - 16 ) - 2 7}{2 \cdot 1} : 8 - 7

二次方程组的解是:

x = 8 + 7, x = 8 - 7

作图

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