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受欢迎的代数 >

3x^2+56=x^2-24x

解答

3 x^{2} + 56 = x^{2} - 24 x

解答

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

+1

十进制

x = - 3.17157 \dots, x = - 8.82842 \dots

求解步骤

3 x^{2} + 56 = x^{2} - 24 x

将

24 x

para o lado esquerdo

3 x^{2} + 56 + 24 x = x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} + 24 x + 56 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 2 \cdot 56}{2 \cdot 2}

2 4^{2} - 4 \cdot 2 \cdot 56 = 82

x_{1, 2} = \frac{- 24 \pm 8 2}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 24 + 8 2}{2 \cdot 2}, x_{2} = \frac{- 24 - 8 2}{2 \cdot 2}

x = \frac{- 24 + 8 2}{2 \cdot 2} : 2 (2 - 3)

x = \frac{- 24 - 8 2}{2 \cdot 2} : - 2 (3 + 2)

二次方程组的解是:

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

作图

流行的例子

(2m-3)x^2+(m-3)x-2m+1=0

(2 m - 3) x^{2} + (m - 3) x - 2 m + 1 = 0

p^{2} - 100 = 0

- 28 q = - 96 q^{2} - 2

- 3 x^{2} - 30 = 0

solvefor x,e^y=x^2+y^2

so l v e f or x, e^{y} = x^{2} + y^{2}