簡約 (5+sqrt(5^2-(4)(-2)(6)))/(2(-2))

解

簡約

\frac{5 + 5 ^{2} - ( 4 ) ( - 2 ) ( 6 )}{2 ( - 2 )}

- \frac{5 + 73}{4}

十進法表記

- 3.38600 \dots

解答ステップ

\frac{5 + 5 ^{2} - ( 4 ) ( - 2 ) ( 6 )}{2 ( - 2 )}

- (4) (- 2) (6) = - 4 (- 2) \cdot 6

= \frac{5 + 5 ^{2} - 4 ( - 2 ) \cdot 6}{2 ( - 2 )}

5^{2} - 4 (- 2) \cdot 6 = 73

= \frac{5 + 73}{2 ( - 2 )}

数を乗じる:

2 (- 2) = - 4

= \frac{5 + 73}{- 4}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{5 + 73}{4}