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受欢迎的代数 >

solvefor a,4a^2-16b^2=(2a-4b)2

解答

求解

a, 4 a^{2} - 16 b^{2} = (2 a - 4 b) 2

解答

a = 2 b, a = - 2 b + 1

求解步骤

4 a^{2} - 16 b^{2} = (2 a - 4 b) \cdot 2

展开

(2 a - 4 b) \cdot 2 : 4 a - 8 b

4 a^{2} - 16 b^{2} = 4 a - 8 b

将

8 b

para o lado esquerdo

4 a^{2} - 16 b^{2} + 8 b = 4 a

将

4 a

para o lado esquerdo

4 a^{2} - 16 b^{2} + 8 b - 4 a = 0

改写成标准形式

a x^{2} + b x + c = 0

4 a^{2} - 4 a - 16 b^{2} + 8 b = 0

因式分解

4 a^{2} - 4 a - 16 b^{2} + 8 b : 4 (a - 2 b) (a + 2 b - 1)

4 (a - 2 b) (a + 2 b - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

a - 2 b = 0 or a + 2 b - 1 = 0

解

a - 2 b = 0 : a = 2 b

解

a + 2 b - 1 = 0 : a = - 2 b + 1

二次方程组的解是:

a = 2 b, a = - 2 b + 1

作图

流行的例子

solvefor x,fx=-14x^2+185x+360

so l v e f or x, f x = - 14 x^{2} + 185 x + 360

solvefor p,p^2+q^2=z

so l v e f or p, p^{2} + q^{2} = z

-(a/2)^2+3(-a/2)+1=0

- (\frac{a}{2})^{2} + 3 (- \frac{a}{2}) + 1 = 0

(2x-2.4)^2= 5/12

(2 x - 2.4)^{2} = \frac{5}{12}

solvefor x,22f^{22}f(2x)+f(1-2x)=12x^2

so l v e f or x, 22 f^{22} f (2 x) + f (1 - 2 x) = 12 x^{2}