How to check if a 4th degree equation has real roots or not?
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★ QUADRATIC RESOLUTION ★
First of all make the 4rth degree equation transform to 2nd degree polynomial by reducing it by 2 dimensions :
Then , after while , check the discriminant of the quadratic equation made ,
If D = 0 , then roots are equal and linear to 0
D > 0 , roots are positive and the roots of original 4rth degree polynomial will be imaginary conjugate pair
D < 0 , roots will be negative , and the roots of the original 4rth degree polynomial will be real and positive [ maybe , rational or irrational conjugated pair ]
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First of all make the 4rth degree equation transform to 2nd degree polynomial by reducing it by 2 dimensions :
Then , after while , check the discriminant of the quadratic equation made ,
If D = 0 , then roots are equal and linear to 0
D > 0 , roots are positive and the roots of original 4rth degree polynomial will be imaginary conjugate pair
D < 0 , roots will be negative , and the roots of the original 4rth degree polynomial will be real and positive [ maybe , rational or irrational conjugated pair ]
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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