Question

Найти корни x^2/x+3=1/4 /-дробь

Answer 1

$frac{ x^{2} }{x+3} = frac{1}{4} \\4 x^{2} =x+3 ,x neq -3\\ 4x^{2}-x-3=0\\D=(-1) ^{2} -4*4*(-3)= 1+48=49=7 ^{2}\\ x_{1} = frac{1+7}{8} =1\\ x_{2}= frac{1-7}{8} =- frac{3}{4}=-0,75$