What is the condition for real roots? Given that the equation

Aldo Fernandez

Aldo Fernandez

Answered question

2022-04-18

What is the condition for real roots?
Given that the equation in x has at least a real root, find the range of m:
(m21)x22(m+2)x+1=0

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-19Added 14 answers

I assume your maths level is around elementary.
Generally, a quadratic equation given by
ax2+bx+c=0
has at least one real root when
D=b24ac0
In your case, a=m21,  b=2(m+2) and c=1.

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