Question

25²-x² = 7²
Determinati solutia ecuatiei

Answer 1

$x^2=25^2-7^2=(25+7)(25-7)=32\cdot18=2^5\cdot2\cdot 3^2=2^6\cdot3^2$

$x_{1;2}=\pm\sqrt{2^6\cdot3^2}=\pm24$

Merge si cu munca bruta, asa:
x²=625-49
x²=576
$x_{1;2}=\pm24$