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受欢迎的代数 >

m(x)=2x^2-5x+4,n(x)=3x^2-7x+6

解答

m (x) = 2 x^{2} - 5 x + 4, n (x) = 3 x^{2} - 7 x + 6

解答

x = \frac{5 + m + m ^{2} + 10 m - 7}{4}, x = \frac{5 + m - m ^{2} + 10 m - 7}{4}

求解步骤

m (x) = 2 x^{2} - 5 x + 4

整理后得

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

交换两边

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

将

m x

para o lado esquerdo

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

改写成标准形式

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

2 x^{2} - (5 + m) x + 4 = 0

使用求根公式求解

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

化简

(- 5 - m)^{2} - 4 \cdot 2 \cdot 4 : m^{2} + 10 m - 7

x_{1, 2} = \frac{- ( - 5 - m ) \pm m ^{2} + 10 m - 7}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 5 - m ) + m ^{2} + 10 m - 7}{2 \cdot 2}, x_{2} = \frac{- ( - 5 - m ) - m ^{2} + 10 m - 7}{2 \cdot 2}

x = \frac{- ( - 5 - m ) + m ^{2} + 10 m - 7}{2 \cdot 2} : \frac{5 + m + m ^{2} + 10 m - 7}{4}

x = \frac{- ( - 5 - m ) - m ^{2} + 10 m - 7}{2 \cdot 2} : \frac{5 + m - m ^{2} + 10 m - 7}{4}

二次方程组的解是:

x = \frac{5 + m + m ^{2} + 10 m - 7}{4}, x = \frac{5 + m - m ^{2} + 10 m - 7}{4}

作图

流行的例子

2x+7y=-4,3x-4y=-6

2 x + 7 y = - 4, 3 x - 4 y = - 6

2x+y=8,5x+2y=10

2 x + y = 8, 5 x + 2 y = 10

f (x) = 20, x + l = 20

2j+s=14,3s+j=270

2 j + s = 14, 3 s + j = 270

2x-5y=3,3x+2y=14

2 x - 5 y = 3, 3 x + 2 y = 14