To find one value of x that is a solution to the equation (x^2 + 3)^2 = 4x^2 + 12, we can start by expanding the left side of the equation:
(x^2 + 3)^2 = x^4 + 6x^2 + 9
Next, we can simplify the right side of the equation:
x^4 + 6x^2 + 9 = 4x^2 + 12
And finally, we can subtract 4x^2 from both sides to obtain:
x^4 + 2x^2 + 9 = 12
Now, we can subtract 9 from both sides to obtain:
x^4 + 2x^2 = 3
To find a value of x that satisfies this equation, we would need to solve for x using more advanced mathematical techniques such as using a quartic equation solver or using numerical methods such as Newton-Raphson