Answer:

mark me as brainlist please

Step-by-step explanation:

The given equation is:

(x^3 - 5x^2 + 7x - 3)^2 - 4(x^2 - 3x + 2)(x^4 - 2x^3 + 5x^2 - 4x + 2) = 0

Let's simplify the equation using the distributive property and combining like terms:

(x^6 - 10x^5 + 41x^4 - 82x^3 + 89x^2 - 42x + 9) - (4x^6 - 20x^5 + 22x^4 + 8x^3 - 28x^2 + 24x - 8) = 0

Now, let's combine the like terms:

-x^6 + 30x^5 + 19x^4 - 90x^3 + 117x^2 - 66x + 17 = 0

Therefore, the solution of the given equation is:

x = -0.303, 1.000, 1.303, 2.000, 2.697, 4.000