Răspuns: x= 8 / -14
Explicație pas cu pas:
x²+6x=112 (adaug 9 pentru a restrange cu formula (a+b)²=a²+2ab+b²)
x²+6x+9=121(121 = 11²)
(x+3)²=11² (fac radical)
|x+3|=11
=> x+3=11 => x=8
x+3=-11 => x= -14
[tex]x^2+6x=112\\x^2+6x-112=0\\x^2+14x-8x-112=0\\x(x+14)-8x-112=0\\x(x+14)-8(x+14)=0\\(x+14)*(x-8)=0\\x+14=0\\x_1=-14\\x-8=0\\x_2=8[/tex]
