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受欢迎的代数 >

0.042x^2+x-18=0

解答

0.042 x^{2} + x - 18 = 0

解答

x = \frac{10 ( 2515 - 25 )}{21}, x = - \frac{10 ( 25 + 2515 )}{21}

+1

十进制

x = 11.97608 \dots, x = - 35.78560 \dots

求解步骤

0.042 x^{2} + x - 18 = 0

在两边乘以

1000

42 x^{2} + 1000 x - 18000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 42 ( - 18000 )}{2 \cdot 42}

100 0^{2} - 4 \cdot 42 (- 18000) = 402515

x_{1, 2} = \frac{- 1000 \pm 40 2515}{2 \cdot 42}

将解分隔开

x_{1} = \frac{- 1000 + 40 2515}{2 \cdot 42}, x_{2} = \frac{- 1000 - 40 2515}{2 \cdot 42}

x = \frac{- 1000 + 40 2515}{2 \cdot 42} : \frac{10 ( 2515 - 25 )}{21}

x = \frac{- 1000 - 40 2515}{2 \cdot 42} : - \frac{10 ( 25 + 2515 )}{21}

二次方程组的解是:

x = \frac{10 ( 2515 - 25 )}{21}, x = - \frac{10 ( 25 + 2515 )}{21}

作图

流行的例子

2 = 3 x^{2} + 1

(x^2+3)2+21=10x^2+30

(x^{2} + 3) 2 + 21 = 10 x^{2} + 30

6 x^{2} = 1 - 5 x

solvefor x,x^2+y^2-4z^2+4x-6y-8z=7

so l v e f or x, x^{2} + y^{2} - 4 z^{2} + 4 x - 6 y - 8 z = 7

2 + x - 15 x^{2} = 0