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人気のある代数 >

4z=77-z^2

解

4 z = 77 - z^{2}

解

z = - 11, z = 7

解答ステップ

4 z = 77 - z^{2}

辺を交換する

77 - z^{2} = 4 z

4 z

を左側に移動します

77 - z^{2} - 4 z = 0

標準的な形式で書く

a x^{2} + b x + c = 0

- z^{2} - 4 z + 77 = 0

解くとthe二次式

z_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 1 ) \cdot 77}{2 ( - 1 )}

(- 4)^{2} - 4 (- 1) \cdot 77 = 18

z_{1, 2} = \frac{- ( - 4 ) \pm 18}{2 ( - 1 )}

解を分離する

z_{1} = \frac{- ( - 4 ) + 18}{2 ( - 1 )}, z_{2} = \frac{- ( - 4 ) - 18}{2 ( - 1 )}

z = \frac{- ( - 4 ) + 18}{2 ( - 1 )} : - 11

z = \frac{- ( - 4 ) - 18}{2 ( - 1 )} : 7

二次equationの解:

z = - 11, z = 7

グラフ

人気の例

x^2+(x-5)^2=(x+5)^2

x^{2} + (x - 5)^{2} = (x + 5)^{2}

x (x + 14) = - 48

4^{2} + 1 0^{2} = c^{2}

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

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

solvefor a,a(a-b)=31

so l v e f or a, a (a - b) = 31