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受欢迎的代数 >

因式分解 6x^2=10-11x

解答

6 x^{2} = 10 - 11 x

解答

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

+1

十进制

x = 0.66666 \dots, x = - 2.5

求解步骤

6 x^{2} = 10 - 11 x

将

11 x

para o lado esquerdo

6 x^{2} + 11 x = 10

将

10

para o lado esquerdo

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

因式分解

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

(3 x - 2) (2 x + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 x - 2 = 0 or 2 x + 5 = 0

解

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

解

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

二次方程组的解是:

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

作图

流行的例子

因式分解 6n^2-18n-18=6

f a c t or 6 n^{2} - 18 n - 18 = 6

solvefor x,x^2+xy-y^2=0

so l v e f or x, x^{2} + x y - y^{2} = 0

20 x^{2} + 56 x + 15 = 0

solvefor x,x^2-4x-30=-2x+33

so l v e f or x, x^{2} - 4 x - 30 = - 2 x + 33

solvefor x,3(x-4)^2=5x^2

so l v e f or x, 3 (x - 4)^{2} = 5 x^{2}