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受欢迎的代数 >

x^2-4x+14=13

解答

x^{2} - 4 x + 14 = 13

解答

x = 2 + 3, x = 2 - 3

+1

十进制

x = 3.73205 \dots, x = 0.26794 \dots

求解步骤

x^{2} - 4 x + 14 = 13

将

13

para o lado esquerdo

x^{2} - 4 x + 1 = 0

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 1 \cdot 1 = 23

x_{1, 2} = \frac{- ( - 4 ) \pm 2 3}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 3}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 2 3}{2 \cdot 1}

x = \frac{- ( - 4 ) + 2 3}{2 \cdot 1} : 2 + 3

x = \frac{- ( - 4 ) - 2 3}{2 \cdot 1} : 2 - 3

二次方程组的解是:

x = 2 + 3, x = 2 - 3

作图

流行的例子

3 x^{2} - 2 x + 18 = 0

2 x^{2} + 7 x - 13 = - 10

24 = 4 + 37 t - 16 t^{2}

solvefor x,4x^2y+2y^3=1+6xy^2

so l v e f or x, 4 x^{2} y + 2 y^{3} = 1 + 6 x y^{2}

k^{2} + k = 0