Solve –2x2 +3x – 9 = 0. (solving quadratic equation with complex numbers)..
1 answer:
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Given, in the spinner 8 equal sectors, numbered 1 to 8.
So total numbers = 8.
Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).
Now we know that, probability of an event E is
P(E) = (number of outcomes in the event)/ (total number of possible outcomes).
So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.
So P(Three) =
Similarly, P(Eight) =
Probability of spinning a 3 or an 8 = P(Three) + P(Eight)
=
As the denominator is same we can add the numerator.
=
=
Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.
The common factor of 2 and 8 is 2. So by dividing them we will get,
=
We have got the required answer.
The probability of spinning a 3 or an 8 is
Equation 1: x² + y = 7
Equation 2: 3x + 7 = 9
Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".
3x + 7 = 9
3x = 2
x =
*********************************
x² + y = 7
()² + y = 7
+ y = 7
y = 7 -
y = -
y =
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