решите уравнение 3(х+4)²=10х+32

Question

решите уравнение 3(х+4)²=10х+32

Answer 1

3(x+4)^2=10x+32
3(x^2+8x+16)=10x+32
3x^2+14x+16=0
D=b^2-4ac=14*14-4*3*16=4

X=(-b+-sqrt(D))/2a = (-14 +- 2)/6 = -2 ; -16/6