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受欢迎的代数 >

-2/3 x^2-x+2=0

解答

- \frac{2}{3} x^{2} - x + 2 = 0

解答

x = - \frac{3 + 57}{4}, x = \frac{57 - 3}{4}

+1

十进制

x = - 2.63745 \dots, x = 1.13745 \dots

求解步骤

- \frac{2}{3} x^{2} - x + 2 = 0

在两边乘以

3

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

使用求根公式求解

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

(- 3)^{2} - 4 (- 2) \cdot 6 = 57

x_{1, 2} = \frac{- ( - 3 ) \pm 57}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 57}{2 ( - 2 )}, x_{2} = \frac{- ( - 3 ) - 57}{2 ( - 2 )}

x = \frac{- ( - 3 ) + 57}{2 ( - 2 )} : - \frac{3 + 57}{4}

x = \frac{- ( - 3 ) - 57}{2 ( - 2 )} : \frac{57 - 3}{4}

二次方程组的解是:

x = - \frac{3 + 57}{4}, x = \frac{57 - 3}{4}

作图

流行的例子

s im pl i f y 2 - \frac{7}{3}

因式分解 (a+1)^2-4(a+1)

f a c t or (a + 1)^{2} - 4 (a + 1)

2 x^{2} = 6 x - 5

化简 4/7 × 21/40

s im pl i f y \frac{4}{7} \times \frac{21}{40}

∣ 9 c - 1 ∣ + 2 < 12