展開する t(x)(x=1+1/((2t(x))))

解

展開する

t (x) (x = 1 + \frac{1}{( 2 t ( x ) )})

t x^{2} = \frac{3}{2}

解答ステップ

t (x) (x = 1 + \frac{1}{( 2 t ( x ) )})

= t (x) (1 = x + \frac{1}{( 2 t ( x ) )})

分配法則を適用する:

a (b + c) = ab + a c

a = t (x), b = x = 1, c = \frac{1}{( 2 t ( x ) )}

t (x) x = 1 + t (x) \frac{1}{( 2 t ( x ) )}

t (x) x = 1 + \frac{1}{( 2 t ( x ) )} t (x)

簡素化

t (x) x = 1 + \frac{1}{( 2 t ( x ) )} t (x) : t x^{2} = \frac{3}{2}

t x^{2} = \frac{3}{2}