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受欢迎的代数 >

x^2-2ax+b=0

解答

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

解答

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

求解步骤

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 a ) \pm ( - 2 a ) ^{2} - 4 \cdot 1 \cdot b}{2 \cdot 1}

化简

(- 2 a)^{2} - 4 \cdot 1 \cdot b : 2 a^{2} - b

x_{1, 2} = \frac{- ( - 2 a ) \pm 2 a ^{2} - b}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 2 a ) + 2 a ^{2} - b}{2 \cdot 1}, x_{2} = \frac{- ( - 2 a ) - 2 a ^{2} - b}{2 \cdot 1}

x = \frac{- ( - 2 a ) + 2 a ^{2} - b}{2 \cdot 1} : a + a^{2} - b

x = \frac{- ( - 2 a ) - 2 a ^{2} - b}{2 \cdot 1} : a - a^{2} - b

二次方程组的解是:

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

作图

流行的例子

10 x^{2} = 14 x

15 x^{2} - 12 x - 9 = 0

121 = t^{2}

- 16 t^{2} + 400 = 0

solvefor x,-2x^2-5x+27=0

so l v e f or x, - 2 x^{2} - 5 x + 27 = 0