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受欢迎的代数 >

(8x^2-10x-3)(2x+b)=0

解答

(8 x^{2} - 10 x - 3) (2 x + b) = 0

解答

x = - \frac{1}{4}, x = \frac{3}{2}, x = - \frac{b}{2}

求解步骤

(8 x^{2} - 10 x - 3) (2 x + b) = 0

因式分解

(8 x^{2} - 10 x - 3) (2 x + b) : (4 x + 1) (2 x - 3) (2 x + b)

(4 x + 1) (2 x - 3) (2 x + b) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

4 x + 1 = 0 or 2 x - 3 = 0 or 2 x + b = 0

解

4 x + 1 = 0 : x = - \frac{1}{4}

解

2 x - 3 = 0 : x = \frac{3}{2}

解

2 x + b = 0 : x = - \frac{b}{2}

解为

x = - \frac{1}{4}, x = \frac{3}{2}, x = - \frac{b}{2}

作图

流行的例子

x^{5} = 121 x^{3}

d^{3} = 27

x^{5} - x + 1 = 0

32 x^{3} - 8 x^{7} = 0

z^{6} = 64