-3x^4+6x^3+105x^2=0?

Question

solve

Answer 1

The Function is .

Re-write the equation as

-3x² ( x² - 2x - 35) = 0

Then -3x² = 0 and x² - 2x - 35 = 0

-3x² = 0 then roots are 0 , 0

Now we find the roots of the quadratic equation x² - 2x - 35 = 0.

x² - 2x - 35 = 0

x² - 7x +5x - 35 = 0

x (x - 7) + 5 (x - 7) = 0

(x - 7) (x + 5) = 0

x = 7 , -5

Therefore the roots of are 0, 0 , 7, -5.