the roots of quadratic equation is same and opposite sign then coefficients of x is
Answers
Answer:Roots wiil be real
Step-by-step explanation:
Equations with one root. (-m/n)
These start from the form (nx+m)2=0.
They always take the form n2x2+2nmx+m2=0.
Because of the squares, the first term and the last term must share the same sign.
Equations with two roots where the roots are negatives of each other. (m/n and -m/n)
These start from the form (nx+m)(nx−m)=0.
These will take the form n2x−m2=0.
Equations with no real roots.
These, if in the form ax2+bx+c=0, will have the determinant, b2–4ac<0, and this makes both roots will be complex numbers.
Equations with two roots with the same sign.
These will be of the form ax2+bx+c=0, but a and c will always be the same sign. If a is negative, c will be negative and if a is positive, c will be positive.
Equations with two roots of different signs.
These will be of the form ax2+bx+c=0 as well, but a and c will have different signs.
Because a and c have different signs, b2–4ac will always be greater than 0, which means all equations of that form have real solutions when a and c have opposite signs, regardless of b’s value.