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受欢迎的代数 >

x^2+8x+16-4a^2=0

解答

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

解答

x = - 2 a - 4, x = 2 a - 4

求解步骤

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

因式分解

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

(x + 2 a + 4) (x - 2 a + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 2 a + 4 = 0 or x - 2 a + 4 = 0

解

x + 2 a + 4 = 0 : x = - 2 a - 4

解

x - 2 a + 4 = 0 : x = 2 a - 4

二次方程组的解是:

x = - 2 a - 4, x = 2 a - 4

作图

流行的例子

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4.68 X^{2} - 15.5 X + 12.43 = 0

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8 a^{2} + 2 a - 6 = 0