To solve this equation, we will first expand the squares of the binomials:
x2−25x^2 - 25x2−25^2 = x^4 - 50x^2 + 625
x2+3x−10x^2 + 3x - 10x2+3x−10^2 = x^4 + 6x^3 - 35x^2 - 60x + 100
Now, add these two expanded expressions together:
x^4 - 50x^2 + 625 + x^4 + 6x^3 - 35x^2 - 60x + 100 = 0
Combining like terms, we get:
2x^4 + 6x^3 - 85x^2 - 60x + 725 = 0
This is a quartic equation that may not have simple real solutions. You can solve it using numerical methods or a graphing calculator to find the approximate solutions.
To solve this equation, we will first expand the squares of the binomials:
x2−25x^2 - 25x2−25^2 = x^4 - 50x^2 + 625
x2+3x−10x^2 + 3x - 10x2+3x−10^2 = x^4 + 6x^3 - 35x^2 - 60x + 100
Now, add these two expanded expressions together:
x^4 - 50x^2 + 625 + x^4 + 6x^3 - 35x^2 - 60x + 100 = 0
Combining like terms, we get:
2x^4 + 6x^3 - 85x^2 - 60x + 725 = 0
This is a quartic equation that may not have simple real solutions. You can solve it using numerical methods or a graphing calculator to find the approximate solutions.