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受欢迎的代数 >

x^2-2bx^2+b^2-a=0

解答

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

解答

x = \frac{- b ^{2} + a}{1 - 2 b}, x = - \frac{- b ^{2} + a}{1 - 2 b}; b \neq = \frac{1}{2}

求解步骤

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

将

b^{2}

到右边

x^{2} - 2 b x^{2} - a = - b^{2}

将

a

到右边

x^{2} - 2 b x^{2} = - b^{2} + a

分解

x^{2} - 2 b x^{2} : x^{2} (1 - 2 b)

x^{2} (1 - 2 b) = - b^{2} + a

两边除以

1 - 2 b; b \neq = \frac{1}{2}

x^{2} = \frac{- b ^{2} + a}{1 - 2 b}; b \neq = \frac{1}{2}

对于

x^{2} = f (a)

解为

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

x = \frac{- b ^{2} + a}{1 - 2 b}, x = - \frac{- b ^{2} + a}{1 - 2 b}; b \neq = \frac{1}{2}

作图

流行的例子

x+5=((x-7)^2)/2

x + 5 = \frac{( x - 7 ) ^{2}}{2}

0.1n^2+100n+8=1000

0.1 n^{2} + 100 n + 8 = 1000

-8x^2+48x+576=0

- 8 x^{2} + 48 x + 576 = 0

x^{2} + 82 x + 1681 = 0

因式分解 x^2+5x+2=-4

f a c t or x^{2} + 5 x + 2 = - 4