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受欢迎的代数 >

x^2+x+100.25=0

解答

x^{2} + x + 100.25 = 0

解答

x = - \frac{1}{2} + 10 i, x = - \frac{1}{2} - 10 i

求解步骤

x^{2} + x + 100.25 = 0

在两边乘以

100

100 x^{2} + 100 x + 10025 = 0

使用求根公式求解

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 100 \cdot 10025}{2 \cdot 100}

化简

10 0^{2} - 4 \cdot 100 \cdot 10025 : 2000 i

x_{1, 2} = \frac{- 100 \pm 2000 i}{2 \cdot 100}

将解分隔开

x_{1} = \frac{- 100 + 2000 i}{2 \cdot 100}, x_{2} = \frac{- 100 - 2000 i}{2 \cdot 100}

x = \frac{- 100 + 2000 i}{2 \cdot 100} : - \frac{1}{2} + 10 i

x = \frac{- 100 - 2000 i}{2 \cdot 100} : - \frac{1}{2} - 10 i

二次方程组的解是:

x = - \frac{1}{2} + 10 i, x = - \frac{1}{2} - 10 i

作图

流行的例子

quadraticformula 27=2x-1/73 x^2

q u a d r a t i c f or m u l a 27 = 2 x - \frac{1}{73} x^{2}

A(x)=(x+1)^2-36

A (x) = (x + 1)^{2} - 36

solvefor x,f(6-t)=3-5x-2x^2

so l v e f or x, f (6 - t) = 3 - 5 x - 2 x^{2}

5 x^{2} = - 5

solvefor x,5x^2-3x-2=0

so l v e f or x, 5 x^{2} - 3 x - 2 = 0