zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

c(x)= 1/4 x^2+4x+100

解答

c (x) = \frac{1}{4} x^{2} + 4 x + 100

解答

x = 2 (c + c^{2} - 8 c - 84 - 4), x = 2 (c - c^{2} - 8 c - 84 - 4)

求解步骤

c (x) = \frac{1}{4} x^{2} + 4 x + 100

在两边乘以

4

4 c x = x^{2} + 16 x + 400

交换两边

x^{2} + 16 x + 400 = 4 c x

将

4 c x

para o lado esquerdo

x^{2} + 16 x + 400 - 4 c x = 0

改写成标准形式

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

x^{2} + (16 - 4 c) x + 400 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 16 - 4 c ) \pm ( 16 - 4 c ) ^{2} - 4 \cdot 1 \cdot 400}{2 \cdot 1}

化简

(16 - 4 c)^{2} - 4 \cdot 1 \cdot 400 : 4 c^{2} - 8 c - 84

x_{1, 2} = \frac{- ( 16 - 4 c ) \pm 4 c ^{2} - 8 c - 84}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( 16 - 4 c ) + 4 c ^{2} - 8 c - 84}{2 \cdot 1}, x_{2} = \frac{- ( 16 - 4 c ) - 4 c ^{2} - 8 c - 84}{2 \cdot 1}

x = \frac{- ( 16 - 4 c ) + 4 c ^{2} - 8 c - 84}{2 \cdot 1} : 2 (c + c^{2} - 8 c - 84 - 4)

x = \frac{- ( 16 - 4 c ) - 4 c ^{2} - 8 c - 84}{2 \cdot 1} : 2 (c - c^{2} - 8 c - 84 - 4)

二次方程组的解是:

x = 2 (c + c^{2} - 8 c - 84 - 4), x = 2 (c - c^{2} - 8 c - 84 - 4)

作图

流行的例子

4 x^{2} + 20 x - 11 = 0

solvefor y,y^2=x^3-3x+1

so l v e f or y, y^{2} = x^{3} - 3 x + 1

completesquare s^2+2s+1

co m pl e t es q u a re s^{2} + 2 s + 1

2 x^{2} - 48 x + 288 = 0

c^{2} + 3 c + 5 = 0