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人気のある代数 >

9x^2-60x+(a^2+b^2)=0

解

9 x^{2} - 60 x + (a^{2} + b^{2}) = 0

解

x = \frac{10 + 100 - a ^{2} - b ^{2}}{3}, x = \frac{10 - 100 - a ^{2} - b ^{2}}{3}

解答ステップ

9 x^{2} - 60 x + (a^{2} + b^{2}) = 0

改良

9 x^{2} - 60 x + a^{2} + b^{2} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 9 ( a ^{2} + b ^{2} )}{2 \cdot 9}

簡素化

(- 60)^{2} - 4 \cdot 9 (a^{2} + b^{2}) : 6 100 - a^{2} - b^{2}

x_{1, 2} = \frac{- ( - 60 ) \pm 6 100 - a ^{2} - b ^{2}}{2 \cdot 9}

解を分離する

x_{1} = \frac{- ( - 60 ) + 6 100 - a ^{2} - b ^{2}}{2 \cdot 9}, x_{2} = \frac{- ( - 60 ) - 6 100 - a ^{2} - b ^{2}}{2 \cdot 9}

x = \frac{- ( - 60 ) + 6 100 - a ^{2} - b ^{2}}{2 \cdot 9} : \frac{10 + 100 - a ^{2} - b ^{2}}{3}

x = \frac{- ( - 60 ) - 6 100 - a ^{2} - b ^{2}}{2 \cdot 9} : \frac{10 - 100 - a ^{2} - b ^{2}}{3}

二次equationの解:

x = \frac{10 + 100 - a ^{2} - b ^{2}}{3}, x = \frac{10 - 100 - a ^{2} - b ^{2}}{3}

グラフ

人気の例

solvefor x,y^4=c*x^2

so l v e f or x, y^{4} = c \cdot x^{2}

(x+2)^3=x(x^2-1)

(x + 2)^{3} = x (x^{2} - 1)

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x^{2} - 25 = a^{2} - b^{2}

(m-2)*x^2-(3m-8)x+m-9=0

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