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人気のある代数 >

3x^2-14x-24=(3x+4)^2

解

3 x^{2} - 14 x - 24 = (3 x + 4)^{2}

解

x = - 5, x = - \frac{4}{3}

+1

十進法表記

x = - 5, x = - 1.33333 \dots

解答ステップ

3 x^{2} - 14 x - 24 = (3 x + 4)^{2}

拡張

(3 x + 4)^{2} : 9 x^{2} + 24 x + 16

3 x^{2} - 14 x - 24 = 9 x^{2} + 24 x + 16

16

を左側に移動します

3 x^{2} - 14 x - 40 = 9 x^{2} + 24 x

24 x

を左側に移動します

3 x^{2} - 38 x - 40 = 9 x^{2}

9 x^{2}

を左側に移動します

- 6 x^{2} - 38 x - 40 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 38 ) \pm ( - 38 ) ^{2} - 4 ( - 6 ) ( - 40 )}{2 ( - 6 )}

(- 38)^{2} - 4 (- 6) (- 40) = 22

x_{1, 2} = \frac{- ( - 38 ) \pm 22}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- ( - 38 ) + 22}{2 ( - 6 )}, x_{2} = \frac{- ( - 38 ) - 22}{2 ( - 6 )}

x = \frac{- ( - 38 ) + 22}{2 ( - 6 )} : - 5

x = \frac{- ( - 38 ) - 22}{2 ( - 6 )} : - \frac{4}{3}

二次equationの解:

x = - 5, x = - \frac{4}{3}

グラフ

人気の例

1/5 (x-1)^2-1=4

\frac{1}{5} (x - 1)^{2} - 1 = 4

- 9 r + r^{2} + 23 = 0

x + 2 = x^{2} - 8 x + 16

solvefor x,4x^2+4y^2+z^2=64

so l v e f or x, 4 x^{2} + 4 y^{2} + z^{2} = 64

solvefor x,f=2x^2+y^2

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