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受欢迎的代数 >

L(v)=2v^2+50v+10

解答

L (v) = 2 v^{2} + 50 v + 10

解答

v = \frac{- 50 + L + L ^{2} - 100 L + 2420}{4}, v = \frac{- 50 + L - L ^{2} - 100 L + 2420}{4}

求解步骤

L (v) = 2 v^{2} + 50 v + 10

整理后得

Lv = 2 v^{2} + 50 v + 10

交换两边

2 v^{2} + 50 v + 10 = Lv

将

Lv

para o lado esquerdo

2 v^{2} + 50 v + 10 - Lv = 0

改写成标准形式

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

2 v^{2} + (50 - L) v + 10 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( 50 - L ) \pm ( 50 - L ) ^{2} - 4 \cdot 2 \cdot 10}{2 \cdot 2}

化简

(50 - L)^{2} - 4 \cdot 2 \cdot 10 : L^{2} - 100 L + 2420

v_{1, 2} = \frac{- ( 50 - L ) \pm L ^{2} - 100 L + 2420}{2 \cdot 2}

将解分隔开

v_{1} = \frac{- ( 50 - L ) + L ^{2} - 100 L + 2420}{2 \cdot 2}, v_{2} = \frac{- ( 50 - L ) - L ^{2} - 100 L + 2420}{2 \cdot 2}

v = \frac{- ( 50 - L ) + L ^{2} - 100 L + 2420}{2 \cdot 2} : \frac{- 50 + L + L ^{2} - 100 L + 2420}{4}

v = \frac{- ( 50 - L ) - L ^{2} - 100 L + 2420}{2 \cdot 2} : \frac{- 50 + L - L ^{2} - 100 L + 2420}{4}

二次方程组的解是:

v = \frac{- 50 + L + L ^{2} - 100 L + 2420}{4}, v = \frac{- 50 + L - L ^{2} - 100 L + 2420}{4}

作图

流行的例子

x^{2} + 18 x = 6 x - 35

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

16 p^{2} - 24 p + 5 = 0

solvefor x,16x^2-m^2=0

so l v e f or x, 16 x^{2} - m^{2} = 0

x^2+6x-78=3(x-8)

x^{2} + 6 x - 78 = 3 (x - 8)