The quadratic equations x²-5x+3=0 has
A. no real roots
B. two distinct real roots
C. two equal real roots
D. more than two real roots
Answer
The nature of roots of the given equation can be given by,
D = b²4ac =0,
For equation x² – 5x+3 =0,
D = (-5)²-4(3)(1)
D = 13 > 0
It has two distinct real roots.
how do we state the nature of quadratics
A polynomial can have real numbers as zero(ie rational and irrational)to decide it’s nature we can use the relationship between the coefficients and zero (by comparing sum and product of zeroes)