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人気のある代数 >

-9r+r^2+23=0

解

- 9 r + r^{2} + 23 = 0

解

r = \frac{9}{2} + i \frac{11}{2}, r = \frac{9}{2} - i \frac{11}{2}

解答ステップ

- 9 r + r^{2} + 23 = 0

標準的な形式で書く

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

r^{2} - 9 r + 23 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot 23}{2 \cdot 1}

簡素化

(- 9)^{2} - 4 \cdot 1 \cdot 23 : 11 i

r_{1, 2} = \frac{- ( - 9 ) \pm 11 i}{2 \cdot 1}

解を分離する

r_{1} = \frac{- ( - 9 ) + 11 i}{2 \cdot 1}, r_{2} = \frac{- ( - 9 ) - 11 i}{2 \cdot 1}

r = \frac{- ( - 9 ) + 11 i}{2 \cdot 1} : \frac{9}{2} + i \frac{11}{2}

r = \frac{- ( - 9 ) - 11 i}{2 \cdot 1} : \frac{9}{2} - i \frac{11}{2}

二次equationの解:

r = \frac{9}{2} + i \frac{11}{2}, r = \frac{9}{2} - i \frac{11}{2}

グラフ

人気の例

x + 2 = x^{2} - 8 x + 16

solvefor x,4x^2+4y^2+z^2=64

so l v e f or x, 4 x^{2} + 4 y^{2} + z^{2} = 64

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

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

5 x^{2} + x + 10 = 0

X^{2} + 2 X + 5 = 0