Question

X(x+6)=216 , x2+6x=216

Answer 1

Ответ:

x^2+6x-216=0

x^2+18x-12x-216=0

x(x+18)-12(x+18)=0

(x+18(x-12)=0

x+18=0

x-12=0

x1=-18,x2=12

Объяснение:

Answer 2

To solve the equations:

1. X(x+6) = 216

2. x^2 + 6x = 216

Let's start with the second equation:

x^2 + 6x = 216

Rearranging the equation, we have:

x^2 + 6x - 216 = 0

Now, we can either factorize or use the quadratic formula to solve for x. Let's factorize the quadratic equation:

(x + 18)(x - 12) = 0

Setting each factor equal to zero:

x + 18 = 0 or x - 12 = 0

Solving for x in each case:

Case 1: x + 18 = 0 x = -18

Case 2: x - 12 = 0 x = 12

So, the solutions to the second equation are x = -18 and x = 12.

Now, let's substitute these values into the first equation:

1. X(x+6) = 216

For x = -18: X(-18 + 6) = 216 X(-12) = 216 -12X = 216 X = 216 / -12 X = -18

For x = 12: X(12 + 6) = 216 X(18) = 216 18X = 216 X = 216 / 18 X = 12

Therefore, the solutions to the system of equations are: x = -18, X = -18 x = 12, X = 12