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受欢迎的代数 >

3x^1+6x^2=9,-2x^1+3x^2=4

解答

3 x^{1} + 6 x^{2} = 9, - 2 x^{1} + 3 x^{2} = 4

解答

x = 1, x = - \frac{3}{2}

+1

十进制

x = 1, x = - 1.5

求解步骤

3 x^{1} + 6 x^{2} = 9

整理后得

3 x + 6 x^{2} = 9

将

9

para o lado esquerdo

3 x + 6 x^{2} - 9 = 0

改写成标准形式

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

6 x^{2} + 3 x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 6 ( - 9 )}{2 \cdot 6}

3^{2} - 4 \cdot 6 (- 9) = 15

x_{1, 2} = \frac{- 3 \pm 15}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 3 + 15}{2 \cdot 6}, x_{2} = \frac{- 3 - 15}{2 \cdot 6}

x = \frac{- 3 + 15}{2 \cdot 6} : 1

x = \frac{- 3 - 15}{2 \cdot 6} : - \frac{3}{2}

二次方程组的解是:

x = 1, x = - \frac{3}{2}

作图

流行的例子

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\frac{x ^{2} - x}{2} - \frac{( x - 4 ) ^{2}}{3} = 0

-0.45x^2+5.52x-13.7=0

- 0.45 x^{2} + 5.52 x - 13.7 = 0

solvefor x,z=4(x-y)-x^2-y^2

so l v e f or x, z = 4 (x - y) - x^{2} - y^{2}

20 x^{2} - 27 x - 14 = 0

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