relationship btw discriminant formula n nature of roots
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Step-by-step explanation:
@consider the quadratic equation
ax2 +bx + c = 0
a not equal to zero only.
a, b, c belongs to real number
x = -b + b^2 - 4ac / 2a
where b^2 - 4ac is disceiminent
on the basis of value of discriminent
nature of root can be defined
1 . D > 0 real and distint
2. D<0 imaginary and distint
roots are conjugate of each other
if 1+i is one root then other root is 1-i
3. D = 0 roots are equal
@consider the quadratic equation
ax2 +bx + c = 0
where a, b, c are integers and a not equal to 0
=> if D is a perfect square then roots are rational
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