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受欢迎的代数 >

4x-2x^2=1

解答

4 x - 2 x^{2} = 1

解答

x = \frac{2 - 2}{2}, x = \frac{2 + 2}{2}

+1

十进制

x = 0.29289 \dots, x = 1.70710 \dots

求解步骤

4 x - 2 x^{2} = 1

将

1

para o lado esquerdo

4 x - 2 x^{2} - 1 = 0

改写成标准形式

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

- 2 x^{2} + 4 x - 1 = 0

使用求根公式求解

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

4^{2} - 4 (- 2) (- 1) = 22

x_{1, 2} = \frac{- 4 \pm 2 2}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 4 + 2 2}{2 ( - 2 )}, x_{2} = \frac{- 4 - 2 2}{2 ( - 2 )}

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

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

二次方程组的解是:

x = \frac{2 - 2}{2}, x = \frac{2 + 2}{2}

作图

流行的例子

- 3 x + 7 = 21

\frac{2 X}{7} - 5 \geq 7

x(1)=1.5(1)^3+3(1)-5

x (1) = 1.5 (1)^{3} + 3 (1) - 5

(5x^2-3)/4+x/2 >3x-1

\frac{5 x ^{2} - 3}{4} + \frac{x}{2} > 3 x - 1

因式分解 x^5+7x^3

f a c t or x^{5} + 7 x^{3}