First, simplify the left side of the equation: √x^2 x^2 + 12x + 36 = x^2 x^2 + 12x + 36 = x^4 + 12x + 36
Now, simplify the right side of the equation: x^2 - 36
Now, set the left side of the equation equal to the right side and solve for x: x^4 + 12x + 36 = x^2 - 36 x^4 + 12x + 36 - x^2 + 36 = 0 x^4 - x^2 + 12x + 72 = 0
Unfortunately, this equation cannot be easily solved using standard algebraic methods. You may need to use numerical or graphical methods to find the approximate solutions for x.
Let's simplify the equation step by step.
First, simplify the left side of the equation:
√x^2 x^2 + 12x + 36 = x^2 x^2 + 12x + 36 = x^4 + 12x + 36
Now, simplify the right side of the equation:
x^2 - 36
Now, set the left side of the equation equal to the right side and solve for x:
x^4 + 12x + 36 = x^2 - 36
x^4 + 12x + 36 - x^2 + 36 = 0
x^4 - x^2 + 12x + 72 = 0
Unfortunately, this equation cannot be easily solved using standard algebraic methods. You may need to use numerical or graphical methods to find the approximate solutions for x.