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人気のある代数 >

log_{10}(12)(x^2-x)=1

解

lo g_{10} (12) (x^{2} - x) = 1

解

x = \frac{lo g _{10} ( 12 ) + lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}, x = \frac{lo g _{10} ( 12 ) - lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

+1

十進法表記

x = 1.58472 \dots, x = - 0.58472 \dots

解答ステップ

lo g_{10} (12) (x^{2} - x) = 1

拡張

lo g_{10} (12) (x^{2} - x) : lo g_{10} (12) x^{2} - lo g_{10} (12) x

lo g_{10} (12) x^{2} - lo g_{10} (12) x = 1

1

を左側に移動します

lo g_{10} (12) x^{2} - lo g_{10} (12) x - 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - lo g _{10} ( 12 ) ) \pm ( - lo g _{10} ( 12 ) ) ^{2} - 4 lo g _{10} ( 12 ) ( - 1 )}{2 lo g _{10} ( 12 )}

(- lo g_{10} (12))^{2} - 4 lo g_{10} (12) (- 1) = lo g_{10} (12)^{2} + 4 lo g_{10} (12)

x_{1, 2} = \frac{- ( - lo g _{10} ( 12 ) ) \pm lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

解を分離する

x_{1} = \frac{- ( - lo g _{10} ( 12 ) ) + lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}, x_{2} = \frac{- ( - lo g _{10} ( 12 ) ) - lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

x = \frac{- ( - lo g _{10} ( 12 ) ) + lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )} : \frac{lo g _{10} ( 12 ) + lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

x = \frac{- ( - lo g _{10} ( 12 ) ) - lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )} : \frac{lo g _{10} ( 12 ) - lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

二次equationの解:

x = \frac{lo g _{10} ( 12 ) + lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}, x = \frac{lo g _{10} ( 12 ) - lo g _{10} ( 12 ) ^{2} + 4 lo g _{10} ( 12 )}{2 lo g _{10} ( 12 )}

グラフ

人気の例

x^{2} - 5 x + 6 = 2 - 3

x^2-(1+sqrt(2))*x+sqrt(2)=0

x^{2} - (1 + 2) \cdot x + 2 = 0

((x^2))/6-((3x))/6 =3(x-5)

\frac{( x ^{2} )}{6} - \frac{( 3 x )}{6} = 3 (x - 5)

4x^2-4a^2*x+(a^4-b^4)=0

4 x^{2} - 4 a^{2} \cdot x + (a^{4} - b^{4}) = 0

solvefor x,x^2-10x+y^2-20y=-125

so l v e f or x, x^{2} - 10 x + y^{2} - 20 y = - 125