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Solve for P: P2 + 652 = 1602 − 902 − 7191

April 16, 2026Mathematics

ScanSolve AI Answer

Answer

P = 78

5 steps

Evaluate the squares of the numbers.
$65^2 = 4225$ $160^2 = 25600$ $90^2 = 8100$
Substitute these values into the equation.
$P^2 + 4225 = 25600 - 8100 - 7191$
Perform the subtractions on the right side of the equation.
$25600 - 8100 = 17500$ $17500 - 7191 = 10309$
So the equation becomes:
$P^2 + 4225 = 10309$
Isolate $P^2$ by subtracting 4225 from both sides.
$P^2 = 10309 - 4225$ $P^2 = 6084$
Solve for $P$ by taking the square root of both sides.
$P = \sqrt{6084}$ $P = 78$
The value of $P$ is:

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