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受欢迎的代数 >

x^2+(x-7)^2=132

解答

x^{2} + (x - 7)^{2} = 132

解答

x = \frac{7 + 215}{2}, x = \frac{7 - 215}{2}

+1

十进制

x = 10.83143 \dots, x = - 3.83143 \dots

求解步骤

x^{2} + (x - 7)^{2} = 132

展开

x^{2} + (x - 7)^{2} : 2 x^{2} - 14 x + 49

2 x^{2} - 14 x + 49 = 132

将

132

para o lado esquerdo

2 x^{2} - 14 x - 83 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 2 ( - 83 )}{2 \cdot 2}

(- 14)^{2} - 4 \cdot 2 (- 83) = 2215

x_{1, 2} = \frac{- ( - 14 ) \pm 2 215}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2 215}{2 \cdot 2}, x_{2} = \frac{- ( - 14 ) - 2 215}{2 \cdot 2}

x = \frac{- ( - 14 ) + 2 215}{2 \cdot 2} : \frac{7 + 215}{2}

x = \frac{- ( - 14 ) - 2 215}{2 \cdot 2} : \frac{7 - 215}{2}

二次方程组的解是:

x = \frac{7 + 215}{2}, x = \frac{7 - 215}{2}

作图

流行的例子

(x + 13)^{2} = - 4

3 y^{2} + 2 y - 2 = 0

solvefor x,z=y^2-x^2+2

so l v e f or x, z = y^{2} - x^{2} + 2

x(x+10^{-8})=10^{-14}

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- 27 = 4 x^{2} - 24 x