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受欢迎的代数 >

2x^2-5=3x^2-12x+31

解答

2 x^{2} - 5 = 3 x^{2} - 12 x + 31

解答

x = 6

求解步骤

2 x^{2} - 5 = 3 x^{2} - 12 x + 31

交换两边

3 x^{2} - 12 x + 31 = 2 x^{2} - 5

将

5

para o lado esquerdo

3 x^{2} - 12 x + 36 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

x^{2} - 12 x + 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 36}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot 36 = 0

x_{1, 2} = \frac{- ( - 12 ) \pm 0}{2 \cdot 1}

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

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

x = 6

二次方程组的解是:

x = 6

作图

流行的例子

2 m^{2} = 50

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

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

p^{2} - 2 p + 1 = 0

x^{2} = - x + 6

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

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