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受欢迎的代数 >

0.69x^2-34x+435=600

解答

0.69 x^{2} - 34 x + 435 = 600

解答

x = \frac{10 ( 170 + 40285 )}{69}, x = \frac{10 ( 170 - 40285 )}{69}

+1

十进制

x = 53.72626 \dots, x = - 4.45090 \dots

求解步骤

0.69 x^{2} - 34 x + 435 = 600

在两边乘以

100

69 x^{2} - 3400 x + 43500 = 60000

将

60000

para o lado esquerdo

69 x^{2} - 3400 x - 16500 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3400 ) \pm ( - 3400 ) ^{2} - 4 \cdot 69 ( - 16500 )}{2 \cdot 69}

(- 3400)^{2} - 4 \cdot 69 (- 16500) = 2040285

x_{1, 2} = \frac{- ( - 3400 ) \pm 20 40285}{2 \cdot 69}

将解分隔开

x_{1} = \frac{- ( - 3400 ) + 20 40285}{2 \cdot 69}, x_{2} = \frac{- ( - 3400 ) - 20 40285}{2 \cdot 69}

x = \frac{- ( - 3400 ) + 20 40285}{2 \cdot 69} : \frac{10 ( 170 + 40285 )}{69}

x = \frac{- ( - 3400 ) - 20 40285}{2 \cdot 69} : \frac{10 ( 170 - 40285 )}{69}

二次方程组的解是:

x = \frac{10 ( 170 + 40285 )}{69}, x = \frac{10 ( 170 - 40285 )}{69}

作图

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