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受欢迎的代数 >

(ln(8)x^2)/(ln(3))+5x+2=0

解答

\frac{ln ( 8 ) x ^{2}}{ln ( 3 )} + 5 x + 2 = 0

解答

x = \frac{- 5 ln ( 3 ) + 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}, x = \frac{- 5 ln ( 3 ) - 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}

+1

十进制

x = - 0.49141 \dots, x = - 2.15018 \dots

求解步骤

\frac{ln ( 8 ) x ^{2}}{ln ( 3 )} + 5 x + 2 = 0

在两边乘以

ln (3)

3 ln (2) x^{2} + 5 ln (3) x + 2 ln (3) = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 ln ( 3 ) \pm ( 5 ln ( 3 ) ) ^{2} - 4 \cdot 3 ln ( 2 ) \cdot 2 ln ( 3 )}{2 \cdot 3 ln ( 2 )}

(5 ln (3))^{2} - 4 \cdot 3 ln (2) \cdot 2 ln (3) = 25 ln^{2} (3) - 24 ln (2) ln (3)

x_{1, 2} = \frac{- 5 ln ( 3 ) \pm 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{2 \cdot 3 ln ( 2 )}

将解分隔开

x_{1} = \frac{- 5 ln ( 3 ) + 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{2 \cdot 3 ln ( 2 )}, x_{2} = \frac{- 5 ln ( 3 ) - 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{2 \cdot 3 ln ( 2 )}

x = \frac{- 5 ln ( 3 ) + 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{2 \cdot 3 ln ( 2 )} : \frac{- 5 ln ( 3 ) + 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}

x = \frac{- 5 ln ( 3 ) - 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{2 \cdot 3 ln ( 2 )} : \frac{- 5 ln ( 3 ) - 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}

二次方程组的解是:

x = \frac{- 5 ln ( 3 ) + 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}, x = \frac{- 5 ln ( 3 ) - 25 ln ^{2} ( 3 ) - 24 ln ( 2 ) ln ( 3 )}{6 ln ( 2 )}

作图

流行的例子

-3x-2(5x-7)=-12

- 3 x - 2 (5 x - 7) = - 12

2 - x^{3} \leq 10

因式分解 4a^2-21a+5

f a c t or 4 a^{2} - 21 a + 5

\frac{q}{3} < 3

因式分解 (8x^2y^3-6x^3y)/(2x^2y)

f a c t or \frac{8 x ^{2} y ^{3} - 6 x ^{3} y}{2 x ^{2} y}