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受欢迎的代数 >

(6X-4)(3X+5)=(4X-9)(3X+5)

解答

(6 X - 4) (3 X + 5) = (4 X - 9) (3 X + 5)

解答

X = - \frac{5}{3}, X = - \frac{5}{2}

+1

十进制

X = - 1.66666 \dots, X = - 2.5

求解步骤

(6 X - 4) (3 X + 5) = (4 X - 9) (3 X + 5)

将

(4 X - 9) (3 X + 5)

para o lado esquerdo

(6 X - 4) (3 X + 5) - (4 X - 9) (3 X + 5) = 0

因式分解

(6 X - 4) (3 X + 5) - (4 X - 9) (3 X + 5) : (3 X + 5) (2 X + 5)

(3 X + 5) (2 X + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 X + 5 = 0 or 2 X + 5 = 0

解

3 X + 5 = 0 : X = - \frac{5}{3}

解

2 X + 5 = 0 : X = - \frac{5}{2}

二次方程组的解是:

X = - \frac{5}{3}, X = - \frac{5}{2}

作图

流行的例子

completesquare m^2-6m+8=0

co m pl e t es q u a re m^{2} - 6 m + 8 = 0

4 x (x + 4) = 5 (x - 9)

9 x^{2} - 5 x - 2 = - 1 - x

0 = x^{2} - x - 42

2 x^{2} - 4 x = 10