Question

x^2+6x=112
va rog .........​

Answer 1

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

Answer 2

$x^2+6x=112\\x^2+6x-112=0\\x^2+14x-8x-112=0\\x(x+14)-8x-112=0\\x(x+14)-8(x+14)=0\\(x+14)*(x-8)=0\\x+14=0\\x_1=-14\\x-8=0\\x_2=8$