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受欢迎的代数 >

c(x)=4x^2+3x+6,c(5)

解答

c (x) = 4 x^{2} + 3 x + 6, c (5)

解答

x = \frac{- 3 + c + c ^{2} - 6 c - 87}{8}, x = \frac{- 3 + c - c ^{2} - 6 c - 87}{8}

求解步骤

c (x) = 4 x^{2} + 3 x + 6

整理后得

c x = 4 x^{2} + 3 x + 6

交换两边

4 x^{2} + 3 x + 6 = c x

将

c x

para o lado esquerdo

4 x^{2} + 3 x + 6 - c x = 0

改写成标准形式

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

4 x^{2} + (3 - c) x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 3 - c ) \pm ( 3 - c ) ^{2} - 4 \cdot 4 \cdot 6}{2 \cdot 4}

化简

(3 - c)^{2} - 4 \cdot 4 \cdot 6 : c^{2} - 6 c - 87

x_{1, 2} = \frac{- ( 3 - c ) \pm c ^{2} - 6 c - 87}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( 3 - c ) + c ^{2} - 6 c - 87}{2 \cdot 4}, x_{2} = \frac{- ( 3 - c ) - c ^{2} - 6 c - 87}{2 \cdot 4}

x = \frac{- ( 3 - c ) + c ^{2} - 6 c - 87}{2 \cdot 4} : \frac{- 3 + c + c ^{2} - 6 c - 87}{8}

x = \frac{- ( 3 - c ) - c ^{2} - 6 c - 87}{2 \cdot 4} : \frac{- 3 + c - c ^{2} - 6 c - 87}{8}

二次方程组的解是:

x = \frac{- 3 + c + c ^{2} - 6 c - 87}{8}, x = \frac{- 3 + c - c ^{2} - 6 c - 87}{8}

作图

流行的例子

x^{2} + x + 2 = 1

(x-3)^2+(-x+7)^2=16

(x - 3)^{2} + (- x + 7)^{2} = 16

x^{2} + 2 x - \frac{5}{4} = 0

5^{2} + x^{2} = 9^{2}

solvefor x,3x^2+4xy+6y^2=140

so l v e f or x, 3 x^{2} + 4 x y + 6 y^{2} = 140