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受欢迎的代数 >

因式分解 a^2x^2-2ax-3=0

解答

a^{2} x^{2} - 2 a x - 3 = 0

解答

x = - \frac{1}{a}, x = \frac{3}{a}; a \neq = 0

求解步骤

a^{2} x^{2} - 2 a x - 3 = 0

因式分解

a^{2} x^{2} - 2 a x - 3 : (x a + 1) (x a - 3)

(x a + 1) (x a - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x a + 1 = 0 or x a - 3 = 0

解

x a + 1 = 0 : x = - \frac{1}{a}; a \neq = 0

解

x a - 3 = 0 : x = \frac{3}{a}; a \neq = 0

二次方程组的解是:

x = - \frac{1}{a}, x = \frac{3}{a}; a \neq = 0

作图

流行的例子

y((1+y)/(2-k))=a

y (\frac{1 + y}{2 - k}) = a

((x+2)^2)/5+((x+2)^2)/3 = 16/3

\frac{( x + 2 ) ^{2}}{5} + \frac{( x + 2 ) ^{2}}{3} = \frac{16}{3}

0.000006x^2-0.02x+25=10-0.04x

0.000006 x^{2} - 0.02 x + 25 = 10 - 0.04 x

6 p^{2} - 10 = - 57

0=-20x^2+360x+1000

0 = - 20 x^{2} + 360 x + 1000