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受欢迎的代数 >

(3/2 x-1/2)^2-0.8(1-x)=0

解答

(\frac{3}{2} x - \frac{1}{2})^{2} - 0.8 (1 - x) = 0

解答

x = \frac{7 + 4 34}{45}, x = \frac{7 - 4 34}{45}

+1

十进制

x = 0.67386 \dots, x = - 0.36275 \dots

求解步骤

(\frac{3}{2} x - \frac{1}{2})^{2} - 0.8 (1 - x) = 0

在两边乘以

10

10 (\frac{3}{2} x - \frac{1}{2})^{2} - 8 (1 - x) = 0

展开

10 (\frac{3}{2} x - \frac{1}{2})^{2} - 8 (1 - x) : - \frac{11}{2} + \frac{45}{2} x^{2} - 7 x

- \frac{11}{2} + \frac{45}{2} x^{2} - 7 x = 0

改写成标准形式

a x^{2} + b x + c = 0

\frac{45 x ^{2}}{2} - 7 x - \frac{11}{2} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot \frac{45}{2} ( - \frac{11}{2} )}{2 \cdot \frac{45}{2}}

(- 7)^{2} - 4 \cdot \frac{45}{2} (- \frac{11}{2}) = 434

x_{1, 2} = \frac{- ( - 7 ) \pm 4 34}{2 \cdot \frac{45}{2}}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 4 34}{2 \cdot \frac{45}{2}}, x_{2} = \frac{- ( - 7 ) - 4 34}{2 \cdot \frac{45}{2}}

x = \frac{- ( - 7 ) + 4 34}{2 \frac{45}{2}} : \frac{7 + 4 34}{45}

x = \frac{- ( - 7 ) - 4 34}{2 \frac{45}{2}} : \frac{7 - 4 34}{45}

二次方程组的解是:

x = \frac{7 + 4 34}{45}, x = \frac{7 - 4 34}{45}

作图

流行的例子

t= 1/2*(-9.81)*t^2+20*t+5

t = \frac{1}{2} \cdot (- 9.81) \cdot t^{2} + 20 \cdot t + 5

- 4 d^{2} - d + 3 = 0

40x=-1000+25x+1/2 (1.5)x^2

40 x = - 1000 + 25 x + \frac{1}{2} (1.5) x^{2}

solvefor y=3x^2-5x-4,x

so l v e f or y = 3 x^{2} - 5 x - 4, x

2 r^{2} - 3 r - 8 = 0