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受欢迎的代数 >

4x(x-2)=1

解答

4 x (x - 2) = 1

解答

x = \frac{2 + 5}{2}, x = \frac{2 - 5}{2}

+1

十进制

x = 2.11803 \dots, x = - 0.11803 \dots

求解步骤

4 x (x - 2) = 1

展开

4 x (x - 2) : 4 x^{2} - 8 x

4 x^{2} - 8 x = 1

将

1

para o lado esquerdo

4 x^{2} - 8 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 4 ( - 1 )}{2 \cdot 4}

(- 8)^{2} - 4 \cdot 4 (- 1) = 45

x_{1, 2} = \frac{- ( - 8 ) \pm 4 5}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 4 5}{2 \cdot 4}, x_{2} = \frac{- ( - 8 ) - 4 5}{2 \cdot 4}

x = \frac{- ( - 8 ) + 4 5}{2 \cdot 4} : \frac{2 + 5}{2}

x = \frac{- ( - 8 ) - 4 5}{2 \cdot 4} : \frac{2 - 5}{2}

二次方程组的解是:

x = \frac{2 + 5}{2}, x = \frac{2 - 5}{2}

作图

流行的例子

7 k^{2} - 4 = - 39

\frac{( x + 5 ) ^{2}}{2} = 5

(r - 1)^{2} = - 5

12 x^{2} - 30 x + 18 = 0

quadraticformula 2x^2-4x+3=0

q u a d r a t i c f or m u l a 2 x^{2} - 4 x + 3 = 0