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受欢迎的代数 >

3x^3+7x^2+17x+5=0

解答

3 x^{3} + 7 x^{2} + 17 x + 5 = 0

解答

x = - \frac{1}{3}, x = - 1 + 2 i, x = - 1 - 2 i

求解步骤

3 x^{3} + 7 x^{2} + 17 x + 5 = 0

因式分解

3 x^{3} + 7 x^{2} + 17 x + 5 : (3 x + 1) (x^{2} + 2 x + 5)

(3 x + 1) (x^{2} + 2 x + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 x + 1 = 0 or x^{2} + 2 x + 5 = 0

解

3 x + 1 = 0 : x = - \frac{1}{3}

解

x^{2} + 2 x + 5 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

解为

x = - \frac{1}{3}, x = - 1 + 2 i, x = - 1 - 2 i

作图

流行的例子

3x^3+6x-21x^2-42=0

3 x^{3} + 6 x - 21 x^{2} - 42 = 0

(x^8+1)/((2c^4))=98

\frac{x ^{8} + 1}{( 2 c ^{4} )} = 98

7a^3+41-a^3=-52

7 a^{3} + 41 - a^{3} = - 52

1 - 3 \cdot (x + 4)^{3} = 25

(z + 1)^{4} = - 1