What is (5-sqrt(5^2-(4)(-2)(6)))/(2(-2)) ?

The solution to (5-sqrt(5^2-(4)(-2)(6)))/(2(-2)) is -(5-sqrt(73))/4

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simplify (5-sqrt(5^2-(4)(-2)(6)))/(2(-2))

simplify

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

- \frac{5 - 73}{4}

Solution steps

\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 )}

Multiply the numbers:

2 (- 2) = - 4

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

Apply the fraction rule:

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

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

\frac{15}{7}

(p^{2} + p - 6) (p^{2} - 6)

x + x^{5}

\frac{14}{21}

(x + 8) (x + 3)

What is (5-sqrt(5^2-(4)(-2)(6)))/(2(-2)) ?
The solution to (5-sqrt(5^2-(4)(-2)(6)))/(2(-2)) is -(5-sqrt(73))/4