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人気のある代数 >

(6-x)^2+(3-x)^2=x^2

解

(6 - x)^{2} + (3 - x)^{2} = x^{2}

解

x = 15, x = 3

解答ステップ

(6 - x)^{2} + (3 - x)^{2} = x^{2}

拡張

(6 - x)^{2} + (3 - x)^{2} : 2 x^{2} - 18 x + 45

2 x^{2} - 18 x + 45 = x^{2}

x^{2}

を左側に移動します

x^{2} - 18 x + 45 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 45 = 12

x_{1, 2} = \frac{- ( - 18 ) \pm 12}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 18 ) + 12}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 12}{2 \cdot 1}

x = \frac{- ( - 18 ) + 12}{2 \cdot 1} : 15

x = \frac{- ( - 18 ) - 12}{2 \cdot 1} : 3

二次equationの解:

x = 15, x = 3

グラフ

人気の例

5 a^{2} + 20 a + 20 = 0

solvefor x,x^2=2xy-1

so l v e f or x, x^{2} = 2 x y - 1

0 = x^{2} + 7 x - 44

x^2=531\mod 2021

x^{2} = 531 mod 2021

3 x^{2} + 10 x = 2 x - 4