The equation p^2 - 10p + 16 = 0 is equivalent to (4x-7)^2 + 16 = 40x - 70 in terms of p.
How to find the equivalent equation?
The equivalent equation can be found by substituting p in the place of the value of p and then rearranging the terms such that we can choose the correct answer from the given options.
We can find the equivalent equation as shown below:
It is given that: p = 4x - 7.
It is also given that: (4x-7)^2 + 16 = 40x - 70.
We have to write this equation in terms of p and choose the equivalent equation from the given options.
This can be done as shown below:
(4x-7)^2 + 16 = 40x - 70
(4x-7)^2 + 16 = 10(4x - 7)
We know that p = 4x - 7. Therefore:
p^2 + 16 = 10p
p^2 - 10p + 16 = 0
We have found the equivalent equation in terms of p. From the given options, we can see that option A is the correct answer.
Therefore, we have found that the equation p^2 - 10p + 16 = 0 is equivalent to (4x-7)^2 + 16 = 40x - 70 in terms of p. The correct answer is option A.
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