因数 0.6x^2-20+14

解

因数

0.6 x^{2} - 20 + 14

(0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 2.44948 \dots)

解答ステップ

0.6 x^{2} - 20 + 14

数を足す/引く:

- 20 + 14 = - 6

= 0.6 x^{2} - 6

0.6 x^{2} - 6

を書き換え

(0.6 x)^{2} - (6)^{2}

= (0.6 x)^{2} - (6)^{2}

2乗の差の公式を適用する:

x^{2} - y^{2} = (x + y) (x - y)

(0.6 x)^{2} - (6)^{2} = (0.6 x + 6) (0.6 x - 6)

= (0.6 x + 6) (0.6 x - 6)

0.6 = 0.77459 \dots

= (0.77459 \dots x + 6) (0.6 x - 6)

元を10進法形式に変換する

6 = 2.44948 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.6 x - 6)

0.6 = 0.77459 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 6)

元を10進法形式に変換する

6 = 2.44948 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 2.44948 \dots)