﻿ If m is a natural such that m ≤ 5, then the probability that the quadratic that the quadratic equation x2 + mx +  has real roots is : Kaysons Education

# If M Is A Natural Such That m ≤ 5, Then The Probability That The Quadratic That The Quadratic Equation x2 + mx +  has Real Roots Is

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## Question

### Solution

Correct option is

3/5

Discriminate D of the quadratic equation

Is given by

Now,      D ≥ 0    ⇔         (m – 1)2 ≥ 3

This is possible for m = 3, 4 and 5. Also, the total number of ways of choosing m is 5.

∴ Probability of the required event = 3/5

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