Solve x^2+ 8x- 6=0 using the Quadratic Formula

Step-by-step explanation:

The quadratic equation is used to find the roots of a quadratic. The formula is:

when  

We are given the quadratic:

If we compare the given quadratic to the standard form of a quadratic, then:

Substitute the values into the formula.

Solve inside the radical first.

Solve the exponent.

Multiply 4, 1, and -6.

Add 64 and 24 (2 negative signs become a positive)

Solve the denominator.

The radical can be simplified. 88 is divisible by a perfect square: 4

Take the square root of 4.

Divide by 2.

The roots are: x=0.690416  and x=−8.69042

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.