Locate the roots

Algebra Level 3

If b > a b>a , then the equation ( x − a ) ( x − b ) − 1 = 0 (x-a)(x-b)-1=0 has

Both roots in [ a , b ] [a,b] Both roots in ( − ∞ , a ) (-\infty,a) One root in ( − ∞ , a ) (-\infty,a) & other in ( b , ∞ ) (b,\infty) Both roots in [ b , ∞ ) [b,\infty)

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Aditya Chauhan by Aditya Chauhan , 20, India

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1 solution

An attempt at solution without words

4 Helpful 0 Interesting 1 Brilliant 0 Confused

Moderator note:

Nice approach! Looking at the graphs of polynomials can offer us a clean way of understanding their roots.

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