Question

(x-9)^2-4(x+24)=9-(2-x^2) help

Answer 1

$(x-9)^2-4(x+24)=9-(2-x^2)\\x^2-18x+81-4x-96=9-2+x^2\\-22x=22\\x=-1\\Answer: x = -1$

Answer 2

(x - 9)² - 4(x + 24) = 9 - (2 - x²),

х² - 18х + 81 - 4х - 96 = 9 - 2 + х²,

-18х - 4х = 9 - 2 - 81 + 96,

-22х = 22,

х = -1

Answer 3

Let's simplify and solve the equation step by step:

Starting with the left side of the equation:

(x - 9)^2 - 4(x + 24)

Expanding the squared term:

(x^2 - 18x + 81) - 4(x + 24)

Distributing the negative 4:

x^2 - 18x + 81 - 4x - 96

Combining like terms:

x^2 - 22x - 15

Now let's simplify the right side of the equation:

9 - (2 - x^2)

Distributing the negative sign:

9 - 2 + x^2

Combining like terms:

7 + x^2

Now we have the simplified equation:

x^2 - 22x - 15 = 7 + x^2

We can observe that the x^2 term cancels out on both sides of the equation:

-22x - 15 = 7

Adding 22x to both sides:

-15 = 7 + 22x

Subtracting 7 from both sides:

-22 = 22x

Dividing both sides by 22:

x = -1

So the solution to the equation is x = -1.