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受欢迎的代数 >

x^2=12x-30

解答

x^{2} = 12 x - 30

解答

x = 6 + 6, x = 6 - 6

+1

十进制

x = 8.44948 \dots, x = 3.55051 \dots

求解步骤

x^{2} = 12 x - 30

将

30

para o lado esquerdo

x^{2} + 30 = 12 x

将

12 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot 30 = 26

x_{1, 2} = \frac{- ( - 12 ) \pm 2 6}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 2 6}{2 \cdot 1}, x_{2} = \frac{- ( - 12 ) - 2 6}{2 \cdot 1}

x = \frac{- ( - 12 ) + 2 6}{2 \cdot 1} : 6 + 6

x = \frac{- ( - 12 ) - 2 6}{2 \cdot 1} : 6 - 6

二次方程组的解是:

x = 6 + 6, x = 6 - 6

作图

流行的例子

2 (m - 10)^{2} - 30 = 0

2x^2-8x-4=3x-x^2

2 x^{2} - 8 x - 4 = 3 x - x^{2}

solvefor x,x^2-3x-18=0

so l v e f or x, x^{2} - 3 x - 18 = 0

200 x^{2} = 100

x^{2} - 100 = 21