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人気のある代数 >

solvefor x,CT(x)=x^2-50x-10

解

解く

x, CT (x) = x^{2} - 50 x - 10

解

x = \frac{50 + TC + T ^{2} C ^{2} + 100 TC + 2540}{2}, x = \frac{50 + TC - T ^{2} C ^{2} + 100 TC + 2540}{2}

解答ステップ

CT (x) = x^{2} - 50 x - 10

改良

x TC = x^{2} - 50 x - 10

辺を交換する

x^{2} - 50 x - 10 = x TC

x TC

を左側に移動します

x^{2} - 50 x - 10 - x TC = 0

標準的な形式で書く

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

x^{2} - (50 + TC) x - 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 50 - TC ) \pm ( - 50 - TC ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

簡素化

(- 50 - TC)^{2} - 4 \cdot 1 \cdot (- 10) : T^{2} C^{2} + 100 TC + 2540

x_{1, 2} = \frac{- ( - 50 - TC ) \pm T ^{2} C ^{2} + 100 TC + 2540}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 50 - TC ) + T ^{2} C ^{2} + 100 TC + 2540}{2 \cdot 1}, x_{2} = \frac{- ( - 50 - TC ) - T ^{2} C ^{2} + 100 TC + 2540}{2 \cdot 1}

x = \frac{- ( - 50 - TC ) + T ^{2} C ^{2} + 100 TC + 2540}{2 \cdot 1} : \frac{50 + TC + T ^{2} C ^{2} + 100 TC + 2540}{2}

x = \frac{- ( - 50 - TC ) - T ^{2} C ^{2} + 100 TC + 2540}{2 \cdot 1} : \frac{50 + TC - T ^{2} C ^{2} + 100 TC + 2540}{2}

二次equationの解:

x = \frac{50 + TC + T ^{2} C ^{2} + 100 TC + 2540}{2}, x = \frac{50 + TC - T ^{2} C ^{2} + 100 TC + 2540}{2}

グラフ

人気の例

3 (x - 6)^{2} = 80

8 n^{2} + 27 n - 20 = 0

7 x + 2 = - 3 x^{2}

3 x^{2} - x - 9 = 0

(4+3y)^2+y^2=146

(4 + 3 y)^{2} + y^{2} = 146