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受欢迎的代数 >

x^2-14x+49=72

解答

x^{2} - 14 x + 49 = 72

解答

x = 7 + 62, x = 7 - 62

+1

十进制

x = 15.48528 \dots, x = - 1.48528 \dots

求解步骤

x^{2} - 14 x + 49 = 72

将

72

para o lado esquerdo

x^{2} - 14 x - 23 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot ( - 23 )}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot (- 23) = 122

x_{1, 2} = \frac{- ( - 14 ) \pm 12 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 12 2}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 12 2}{2 \cdot 1}

x = \frac{- ( - 14 ) + 12 2}{2 \cdot 1} : 7 + 62

x = \frac{- ( - 14 ) - 12 2}{2 \cdot 1} : 7 - 62

二次方程组的解是:

x = 7 + 62, x = 7 - 62

作图

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