Question

(x+6)^2-79=(x-5)(x+2)

Answer 1

Ответ:

Объяснение:

x²+12x+36-79=x²-3x-10

12x+3x= -10+79-36

15x=33

x= 2,2

Answer 2

To solve the given equation, we'll start by expanding the terms and simplifying the equation. Then, we'll move all the terms to one side of the equation to find the values of 'x' that satisfy the equation.

Step 1: Expand and simplify the left-hand side (LHS) of the equation: (x + 6)^2 - 79 = (x + 6)(x + 6) - 79 = x^2 + 12x + 36 - 79 = x^2 + 12x - 43

Step 2: Expand the right-hand side (RHS) of the equation: (x - 5)(x + 2) = x^2 + 2x - 5x - 10 = x^2 - 3x - 10

Now the equation becomes: x^2 + 12x - 43 = x^2 - 3x - 10

Step 3: Move all terms to one side of the equation: x^2 - x^2 + 12x + 3x - 43 + 10 = 0

Simplify the equation: 15x - 33 = 0

Step 4: Solve for 'x': 15x = 33 x = 33 / 15 x = 2.2

So the solution to the equation is x = 2.2.