Question

(x – 3)2 – 5 = x(x + 2)

Answer 1

Ответ:

Объяснение:

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

-2x+6-5=x^2+2x

-x^2-4x+1=0

d1= 2^2+1=5

x1,2= -4±√5

Answer 2

To solve the given equation $(x - 3)^2 - 5 = x(x + 2)$, you can follow these steps:

Step 1: Expand the left side of the equation: $(x - 3)^2 - 5 = x(x + 2)$ $x^2 - 6x + 9 - 5 = x^2 + 2x$ $x^2 - 6x + 4 = x^2 + 2x$

Step 2: Subtract $x^2$ from both sides of the equation to get rid of the $x^2$ terms: $-6x + 4 = 2x$

Step 3: Subtract $2x$ from both sides of the equation to isolate the $x$ terms on one side: $-8x + 4 = 0$

Step 4: Subtract 4 from both sides of the equation: $-8x = -4$

Step 5: Divide both sides by -8 to solve for $x$: $x = \frac{-4}{-8} = \frac{1}{2}$

So, the solution to the equation is $x = \frac{1}{2}$.