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受欢迎的代数 >

(a+cx^2)/b =x^2

解答

\frac{a + c x ^{2}}{b} = x^{2}

解答

x = i \frac{a}{c - b}, x = - i \frac{a}{c - b}; b \neq = 0, c - b \neq = 0

求解步骤

\frac{a + c x ^{2}}{b} = x^{2}

将

x^{2}

para o lado esquerdo

\frac{a + c x ^{2}}{b} - x^{2} = 0

在两边乘以

b

a + c x^{2} - b x^{2} = 0; b \neq = 0

将

a

到右边

c x^{2} - b x^{2} = - a; b \neq = 0

分解

c x^{2} - b x^{2} : x^{2} (c - b)

x^{2} (c - b) = - a; b \neq = 0

两边除以

c - b; b \neq = 0, c - b \neq = 0

x^{2} = - \frac{a}{c - b}; b \neq = 0, c - b \neq = 0

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

x = - \frac{a}{c - b}, x = - - \frac{a}{c - b}; b \neq = 0, c - b \neq = 0

化简

- \frac{a}{c - b} : i \frac{a}{c - b}

化简

- - \frac{a}{c - b} : - i \frac{a}{c - b}

x = i \frac{a}{c - b}, x = - i \frac{a}{c - b}; b \neq = 0, c - b \neq = 0

作图

流行的例子

12 x^{2} - 55 x + 28 = 0

(2 x - 6)^{2} = 0

0 = 6 x^{2} + x - 1

2 x^{2} - 3 x - 32 = 0

3 x^{2} = 1 + 6 x