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受欢迎的代数 >

5x^2-57x=3x-120

解答

5 x^{2} - 57 x = 3 x - 120

解答

x = 2 (3 + 3), x = 2 (3 - 3)

+1

十进制

x = 9.46410 \dots, x = 2.53589 \dots

求解步骤

5 x^{2} - 57 x = 3 x - 120

将

120

para o lado esquerdo

5 x^{2} - 57 x + 120 = 3 x

将

3 x

para o lado esquerdo

5 x^{2} - 60 x + 120 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 5 \cdot 120}{2 \cdot 5}

(- 60)^{2} - 4 \cdot 5 \cdot 120 = 203

x_{1, 2} = \frac{- ( - 60 ) \pm 20 3}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 60 ) + 20 3}{2 \cdot 5}, x_{2} = \frac{- ( - 60 ) - 20 3}{2 \cdot 5}

x = \frac{- ( - 60 ) + 20 3}{2 \cdot 5} : 2 (3 + 3)

x = \frac{- ( - 60 ) - 20 3}{2 \cdot 5} : 2 (3 - 3)

二次方程组的解是:

x = 2 (3 + 3), x = 2 (3 - 3)

作图

流行的例子

(2 - x)^{2} = 0

121 - x^{2} = 0

-3x^2-63x-194=-15x+1

- 3 x^{2} - 63 x - 194 = - 15 x + 1

-4x^2+40x-120=0

- 4 x^{2} + 40 x - 120 = 0

80 = x^{2} + 1