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受欢迎的代数 >

16x=x^2+6x+9

解答

16 x = x^{2} + 6 x + 9

解答

x = 9, x = 1

求解步骤

16 x = x^{2} + 6 x + 9

交换两边

x^{2} + 6 x + 9 = 16 x

将

16 x

para o lado esquerdo

x^{2} - 10 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 9 = 8

x_{1, 2} = \frac{- ( - 10 ) \pm 8}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 8}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 8}{2 \cdot 1}

x = \frac{- ( - 10 ) + 8}{2 \cdot 1} : 9

x = \frac{- ( - 10 ) - 8}{2 \cdot 1} : 1

二次方程组的解是:

x = 9, x = 1

作图

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