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受欢迎的代数 >

x^2-11x+97=8x+7

解答

x^{2} - 11 x + 97 = 8 x + 7

解答

x = 10, x = 9

求解步骤

x^{2} - 11 x + 97 = 8 x + 7

将

7

para o lado esquerdo

x^{2} - 11 x + 90 = 8 x

将

8 x

para o lado esquerdo

x^{2} - 19 x + 90 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 1 \cdot 90}{2 \cdot 1}

(- 19)^{2} - 4 \cdot 1 \cdot 90 = 1

x_{1, 2} = \frac{- ( - 19 ) \pm 1}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 19 ) + 1}{2 \cdot 1}, x_{2} = \frac{- ( - 19 ) - 1}{2 \cdot 1}

x = \frac{- ( - 19 ) + 1}{2 \cdot 1} : 10

x = \frac{- ( - 19 ) - 1}{2 \cdot 1} : 9

二次方程组的解是:

x = 10, x = 9

作图

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