Question

Какое число является корнем уравнения 37²x-19²=36²x-54²

Answer 1

37√x-19=36√x-54
37√x-36√x=19-54
√x=-35
x=35^2

Answer 2

${37}^{2} x - {19}^{2} = {36}^{2} x - {54}^{2} \\ {37}^{2} x - {36}^{2} x - {19}^{2} + {54}^{2} = 0 \\ x( {37}^{2} - {36}^{2} ) - ( {19}^{2} - {54}^{2}) = 0 \\ x(37 - 36)(37 + 36) - (19 - 54)(19 + 54) = 0 \\ 73x + 35 \times 73 = 0 \\ x + 35 = 0 \\ x = - 35$