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受欢迎的代数 >

x^2+99=16x+10

解答

x^{2} + 99 = 16 x + 10

解答

x = 8 + 5 i, x = 8 - 5 i

求解步骤

x^{2} + 99 = 16 x + 10

将

10

para o lado esquerdo

x^{2} + 89 = 16 x

将

16 x

para o lado esquerdo

x^{2} + 89 - 16 x = 0

改写成标准形式

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

x^{2} - 16 x + 89 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 89}{2 \cdot 1}

化简

(- 16)^{2} - 4 \cdot 1 \cdot 89 : 10 i

x_{1, 2} = \frac{- ( - 16 ) \pm 10 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 10 i}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 10 i}{2 \cdot 1}

x = \frac{- ( - 16 ) + 10 i}{2 \cdot 1} : 8 + 5 i

x = \frac{- ( - 16 ) - 10 i}{2 \cdot 1} : 8 - 5 i

二次方程组的解是:

x = 8 + 5 i, x = 8 - 5 i

作图

流行的例子

solvefor x,y=x^2-6x

so l v e f or x, y = x^{2} - 6 x

solvefor x,f(x-2)=x^2+9x+5

so l v e f or x, f (x - 2) = x^{2} + 9 x + 5

- t^{2} + 12 t = 32

5 R^{2} - 10 R = 0

4 x - 4 x^{2} + 3 = 0