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受欢迎的代数 >

x^2=5x-4

解答

x^{2} = 5 x - 4

解答

x = 4, x = 1

求解步骤

x^{2} = 5 x - 4

将

4

para o lado esquerdo

x^{2} + 4 = 5 x

将

5 x

para o lado esquerdo

x^{2} + 4 - 5 x = 0

改写成标准形式

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

x^{2} - 5 x + 4 = 0

使用求根公式求解

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

(- 5)^{2} - 4 \cdot 1 \cdot 4 = 3

x_{1, 2} = \frac{- ( - 5 ) \pm 3}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 3}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 3}{2 \cdot 1}

x = \frac{- ( - 5 ) + 3}{2 \cdot 1} : 4

x = \frac{- ( - 5 ) - 3}{2 \cdot 1} : 1

二次方程组的解是:

x = 4, x = 1

作图

流行的例子

(2x+3)/8-(x+7)/2 =(-1)/8-(5(x+3))/2

\frac{2 x + 3}{8} - \frac{x + 7}{2} = \frac{- 1}{8} - \frac{5 ( x + 3 )}{2}

2 m^{2} + 5 m + 2 = 0

4 x^{2} - 2 < 0

(3-2x)/5 =(4x+1)/3

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

x^{4} + 5 x^{2} \geq 36