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受欢迎的代数 >

c(x)=x^2+80x+475,x>= 0

解答

c (x) = x^{2} + 80 x + 475, x \geq 0

解答

x = \frac{- 80 + c + c ^{2} - 160 c + 4500}{2}, x = \frac{- 80 + c - c ^{2} - 160 c + 4500}{2}

求解步骤

c (x) = x^{2} + 80 x + 475

整理后得

c x = x^{2} + 80 x + 475

交换两边

x^{2} + 80 x + 475 = c x

将

c x

para o lado esquerdo

x^{2} + 80 x + 475 - c x = 0

改写成标准形式

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

x^{2} + (80 - c) x + 475 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 80 - c ) \pm ( 80 - c ) ^{2} - 4 \cdot 1 \cdot 475}{2 \cdot 1}

化简

(80 - c)^{2} - 4 \cdot 1 \cdot 475 : c^{2} - 160 c + 4500

x_{1, 2} = \frac{- ( 80 - c ) \pm c ^{2} - 160 c + 4500}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( 80 - c ) + c ^{2} - 160 c + 4500}{2 \cdot 1}, x_{2} = \frac{- ( 80 - c ) - c ^{2} - 160 c + 4500}{2 \cdot 1}

x = \frac{- ( 80 - c ) + c ^{2} - 160 c + 4500}{2 \cdot 1} : \frac{- 80 + c + c ^{2} - 160 c + 4500}{2}

x = \frac{- ( 80 - c ) - c ^{2} - 160 c + 4500}{2 \cdot 1} : \frac{- 80 + c - c ^{2} - 160 c + 4500}{2}

二次方程组的解是:

x = \frac{- 80 + c + c ^{2} - 160 c + 4500}{2}, x = \frac{- 80 + c - c ^{2} - 160 c + 4500}{2}

作图

流行的例子

5 x^{2} + x + 8 = 0

6 x^{2} - 6 x + 6 = 0

因式分解 x^2+5x=24

f a c t or x^{2} + 5 x = 24

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