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受欢迎的代数 >

12x^2+6=17x

解答

12 x^{2} + 6 = 17 x

解答

x = \frac{3}{4}, x = \frac{2}{3}

+1

十进制

x = 0.75, x = 0.66666 \dots

求解步骤

12 x^{2} + 6 = 17 x

将

17 x

para o lado esquerdo

12 x^{2} + 6 - 17 x = 0

改写成标准形式

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

12 x^{2} - 17 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 12 \cdot 6}{2 \cdot 12}

(- 17)^{2} - 4 \cdot 12 \cdot 6 = 1

x_{1, 2} = \frac{- ( - 17 ) \pm 1}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 17 ) + 1}{2 \cdot 12}, x_{2} = \frac{- ( - 17 ) - 1}{2 \cdot 12}

x = \frac{- ( - 17 ) + 1}{2 \cdot 12} : \frac{3}{4}

x = \frac{- ( - 17 ) - 1}{2 \cdot 12} : \frac{2}{3}

二次方程组的解是:

x = \frac{3}{4}, x = \frac{2}{3}

作图

流行的例子

0=-4.9x^2+24.5x+9.5

0 = - 4.9 x^{2} + 24.5 x + 9.5

solvefor y,y^2=11y-28

so l v e f or y, y^{2} = 11 y - 28

1 0^{2} + x^{2} = 1 5^{2}

solvefor x,x^2=2y^2

so l v e f or x, x^{2} = 2 y^{2}

11 e^{2} + 5 = 7 e