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受欢迎的代数 >

x^3+x^2=((11x+10))/3

解答

x^{3} + x^{2} = \frac{( 11 x + 10 )}{3}

解答

x = - 2, x = \frac{3 + 69}{6}, x = \frac{3 - 69}{6}

+1

十进制

x = - 2, x = 1.88443 \dots, x = - 0.88443 \dots

求解步骤

x^{3} + x^{2} = \frac{( 11 x + 10 )}{3}

在两边乘以

3

3 x^{3} + 3 x^{2} = 11 x + 10

将

10

para o lado esquerdo

3 x^{3} + 3 x^{2} - 10 = 11 x

将

11 x

para o lado esquerdo

3 x^{3} + 3 x^{2} - 10 - 11 x = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

3 x^{3} + 3 x^{2} - 11 x - 10 = 0

因式分解

3 x^{3} + 3 x^{2} - 11 x - 10 : (x + 2) (3 x^{2} - 3 x - 5)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x + 2 = 0 : x = - 2

解

3 x^{2} - 3 x - 5 = 0 : x = \frac{3 + 69}{6}, x = \frac{3 - 69}{6}

解为

x = - 2, x = \frac{3 + 69}{6}, x = \frac{3 - 69}{6}

作图

流行的例子

x^{4} + x^{2} = 1

r^3-7r^2-7r-8=0

r^{3} - 7 r^{2} - 7 r - 8 = 0

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- x^{3} + x^{2} + 21 x - 45 = 0

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