# Quadratic Equations Practice Problem 3

## 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

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.

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### 3 responses to “Nature of Roots”

1. vee kwari says:

how do we state the nature of quadratics

• Karthik says:

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)