The value of p if the pair of equations may have one root common is 1.
<h3>What are the
roots of the equation?</h3>
Let the equation be ax² + bx + c = 0.
Then the roots of the equation will be

The equations are given below.
2x² + px - 1 = 0 and 3x² - 2x - 5 = 0
The roots of the equation 3x² - 2x - 5 = 0 will be
3x² - 5x + 3x - 5 = 0
(3x - 5)(x + 1) = 0
x = -1, 5/3
At x = -1, the value of p will be
2(-1)² + p(-1) - 1 = 0
2 - p - 1 = 0
p = 1
The value of p if the pair of equations may have one root common is 1.
More about the roots of the equation link is given below.
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Answer:
D. 1/2 it either happens or not
Setup Equation Based Off Merits
Answer:
they are not similar because the ratio between its sides are different
hope it helps! :D
We need to find mean of given integers.
We have -16,39,-10,-16,12,31.
In order to find mean, we need to add all the given inetgers.
Therefore, putting plus sign in between integers.
-16+ 39+ (-10)+(-16)+12+31 .
We will add all positive number 39+12+31 = 82
We will add all negative numbers by negative numbers, -16-10-16 = -42.
Therefore, -16+ 39+ (-10)+(-16)+12+31 = 82 - 42 = 40.
We have given total 6 integers.
So, in order to find the mean, we need to apply following formula
Mean = 
We get,
Mean = 40/6 = 6.66666......
We can round it to 6.67.
Therefore, mean of the given integers = 6.67 (approximately) .