Find the values of m that \(\displaystyle{x}^{{{2}}}-{4}{m}{x}+{20}={0}\):

Quinn Moses

Quinn Moses

Answered question

2022-04-06

Find the values of m that x24mx+20=0: has a) no solutions and b) 2 solutions

Answer & Explanation

granfury90210birm

granfury90210birm

Beginner2022-04-07Added 10 answers

First, you can use the reduced discriminant Δ=4m220=4(m25). Next, there are no roots, as you said, if and only if
Δ<0m2<5|m|<55<m<5.
Similarly for the existence of two roots: it amounts to solving |m|>5

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