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受欢迎的代数 >

x^2-16x+56=0

解答

x^{2} - 16 x + 56 = 0

解答

x = 2 (4 + 2), x = 2 (4 - 2)

+1

十进制

x = 10.82842 \dots, x = 5.17157 \dots

求解步骤

x^{2} - 16 x + 56 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 56}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 56 = 42

x_{1, 2} = \frac{- ( - 16 ) \pm 4 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 2}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 4 2}{2 \cdot 1}

x = \frac{- ( - 16 ) + 4 2}{2 \cdot 1} : 2 (4 + 2)

x = \frac{- ( - 16 ) - 4 2}{2 \cdot 1} : 2 (4 - 2)

二次方程组的解是:

x = 2 (4 + 2), x = 2 (4 - 2)

作图

流行的例子

9 x^{2} + 14 x - 15 = 0

v^{2} = - 3

因式分解 25x^2-25x=-6

f a c t or 25 x^{2} - 25 x = - 6

solvefor y,x^2+4xy+16y^2=27

so l v e f or y, x^{2} + 4 x y + 16 y^{2} = 27

(x-1)^2=-(x+1)^2+4

(x - 1)^{2} = - (x + 1)^{2} + 4