Which equation is an identity?
2 answers:
For this case we have that an identity is an equation in which the left side of the equation is equal to the right side of the equation.
We then have the following equation:
When applying the distributive property on the right side we have:
Rewriting we have:
We observe that both sides are equal. Therefore, the equation is an identity.
Answer:
Option C
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Answer:
This problem actually says:
(y + 2), (y + 3) and (2*y^2 - 1) are consecutive terms of an arithmetic progression.
Now, the difference between two consecutive terms in an arithmetic progression is always the same, so we have:
(y + 3) - (y +2) = D
(2*y^2 - 1) - (y + 3) = D
From the first equation we have:
y + 3 - y - 2 = 1 = D
Now we can replace it in the other equation:
2*y^2 - 1 - y - 3 = 1
2*y^2 - y - 5 = 0
Now we need to solve that equation to find the possible values of y.
To solve a quadratic equation of the form:
a*x^2 + b*x + c = 0, we can use the Bhaskara's equation:
in this case, the solutions are:
Then the possible values of y are:
y = (1 + 6.4)/4 = 1.85
y = (1 - 6.4)/5 = -1.35