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受欢迎的代数 >

12x^2-10x+1.5=0

解答

12 x^{2} - 10 x + 1.5 = 0

解答

x = \frac{5 + 7}{12}, x = \frac{5 - 7}{12}

+1

十进制

x = 0.63714 \dots, x = 0.19618 \dots

求解步骤

12 x^{2} - 10 x + 1.5 = 0

在两边乘以

10

120 x^{2} - 100 x + 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 120 \cdot 15}{2 \cdot 120}

(- 100)^{2} - 4 \cdot 120 \cdot 15 = 207

x_{1, 2} = \frac{- ( - 100 ) \pm 20 7}{2 \cdot 120}

将解分隔开

x_{1} = \frac{- ( - 100 ) + 20 7}{2 \cdot 120}, x_{2} = \frac{- ( - 100 ) - 20 7}{2 \cdot 120}

x = \frac{- ( - 100 ) + 20 7}{2 \cdot 120} : \frac{5 + 7}{12}

x = \frac{- ( - 100 ) - 20 7}{2 \cdot 120} : \frac{5 - 7}{12}

二次方程组的解是:

x = \frac{5 + 7}{12}, x = \frac{5 - 7}{12}

作图

流行的例子

(5-2x)^2+2(5-2x)=3x-3

(5 - 2 x)^{2} + 2 (5 - 2 x) = 3 x - 3

x^{2} - 36 x + 240 = 0

x^{2} + 70 x - 600 = 0

solvefor x,6x^2-2xy+5y^2=4

so l v e f or x, 6 x^{2} - 2 x y + 5 y^{2} = 4

2 (x + 8)^{2} = 36