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受欢迎的代数 >

因式分解 9x^2=16

解答

9 x^{2} = 16

解答

x = - \frac{4}{3}, x = \frac{4}{3}

+1

十进制

x = - 1.33333 \dots, x = 1.33333 \dots

求解步骤

9 x^{2} = 16

将

16

para o lado esquerdo

9 x^{2} - 16 = 0

因式分解

9 x^{2} - 16 : (3 x + 4) (3 x - 4)

(3 x + 4) (3 x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 x + 4 = 0 or 3 x - 4 = 0

解

3 x + 4 = 0 : x = - \frac{4}{3}

解

3 x - 4 = 0 : x = \frac{4}{3}

二次方程组的解是:

x = - \frac{4}{3}, x = \frac{4}{3}

作图

流行的例子

(a - 3) (a - 4) = 0

10 x^{2} - x = 0

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

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

solvefor x,x^2+mx+4=0

so l v e f or x, x^{2} + m x + 4 = 0

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

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