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受欢迎的代数 >

3x^2-30x+74=0

解答

3 x^{2} - 30 x + 74 = 0

解答

x = \frac{15 + 3}{3}, x = \frac{15 - 3}{3}

+1

十进制

x = 5.57735 \dots, x = 4.42264 \dots

求解步骤

3 x^{2} - 30 x + 74 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 3 \cdot 74}{2 \cdot 3}

(- 30)^{2} - 4 \cdot 3 \cdot 74 = 23

x_{1, 2} = \frac{- ( - 30 ) \pm 2 3}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 30 ) + 2 3}{2 \cdot 3}, x_{2} = \frac{- ( - 30 ) - 2 3}{2 \cdot 3}

x = \frac{- ( - 30 ) + 2 3}{2 \cdot 3} : \frac{15 + 3}{3}

x = \frac{- ( - 30 ) - 2 3}{2 \cdot 3} : \frac{15 - 3}{3}

二次方程组的解是:

x = \frac{15 + 3}{3}, x = \frac{15 - 3}{3}

作图

流行的例子

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5 x^{2} + 38 x + 21 = (5 x + 3)

7= 1/12 x^2+2/3 x

7 = \frac{1}{12} x^{2} + \frac{2}{3} x

c^{2} + 5 (5 - c) = 22

2.25 x^{2} - 3 x = - 1

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