solve the equation:
p^2+6=127
p^2 = 121
Take the square roots of both sides for the final answer(s).
121 is the square of 11.
To solve the given equation p^2 + 6 = 127, we need to isolate the variable p on one side of the equation. Here's a step-by-step explanation of how to solve it:
Step 1: Subtract 6 from both sides of the equation to move the constant term to the right side:
p^2 = 127 - 6
Simplifying this gives:
p^2 = 121
Step 2: To get rid of the square term, take the square root of both sides of the equation:
√(p^2) = √121
This simplifies to:
p = ±11
So, the solution to the equation p^2 + 6 = 127 is p = 11 or p = -11.