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受欢迎的代数 >

solvefor r,x^2r^2-3xr+3=0

解答

求解

r, x^{2} r^{2} - 3 x r + 3 = 0

解答

r = \frac{3}{2 x} + i \frac{3}{2 x}, r = \frac{3}{2 x} - i \frac{3}{2 x}; x \neq = 0

求解步骤

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

使用求根公式求解

r_{1, 2} = \frac{- ( - 3 x ) \pm ( - 3 x ) ^{2} - 4 x ^{2} \cdot 3}{2 x ^{2}}

化简

(- 3 x)^{2} - 4 x^{2} \cdot 3 : 3 i x

r_{1, 2} = \frac{- ( - 3 x ) \pm 3 i x}{2 x ^{2}}; x \neq = 0

将解分隔开

r_{1} = \frac{- ( - 3 x ) + 3 i x}{2 x ^{2}}, r_{2} = \frac{- ( - 3 x ) - 3 i x}{2 x ^{2}}

r = \frac{- ( - 3 x ) + 3 i x}{2 x ^{2}} : \frac{3}{2 x} + i \frac{3}{2 x}

r = \frac{- ( - 3 x ) - 3 i x}{2 x ^{2}} : \frac{3}{2 x} - i \frac{3}{2 x}

二次方程组的解是:

r = \frac{3}{2 x} + i \frac{3}{2 x}, r = \frac{3}{2 x} - i \frac{3}{2 x}; x \neq = 0

作图

流行的例子

0=255-21t-16t^2

0 = 255 - 21 t - 16 t^{2}

solvefor r,r^2-1=0

so l v e f or r, r^{2} - 1 = 0

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

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

\frac{1 + 17 y ^{2}}{4} = 8