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受欢迎的代数 >

4z=77-z^2

解答

4 z = 77 - z^{2}

解答

z = - 11, z = 7

求解步骤

4 z = 77 - z^{2}

交换两边

77 - z^{2} = 4 z

将

4 z

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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 )}

将解分隔开

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

二次方程组的解是:

z = - 11, z = 7

作图

流行的例子

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