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Algebra Level pending

If the range for which $\large \frac{ax^2-7x+5}{5x^2-7x+a}$ is defined for all real $x$ be $n \leq a \leq m$ , evaluate $n^m$ .

The answer is 144.

3 solutions

Bhumika Sharma
Jul 13, 2015

Here is a tip- Equate the polynomial function to 'y' and then by cross multiplying it we can obtain a quadratic equation in 'x' , then for 'x' to be real its Discriminant should be greater than or equal to 0. By doing this we can obtain an inequality in 'a' which can give us the interval of 'a' and the respective values of 'm' and 'n'.

hey go here and tell me 1 thing are you giving rtre or bigbang talent exam be quick last date is very near and its the last opportunity @bhumika sharma

Harshi Singh - 5 years, 8 months ago

Kirti Sharma
May 22, 2016

refined solution.....

why is the level still pending ...the question is good enough

Kirti Sharma - 5 years ago

I too want to know the reason behind it ...I posted it long back ..........about one year ago but.....................

bhumika sharma - 5 years ago

the Discriminant should be greater than or equal to 0..as the question says real roots ... roots may be equal or distinct..Hence closed intervals should be used...

bhumika sharma - 5 years ago

I have changed the solution........thanks for the help

Kirti Sharma - 5 years ago

Harshi Singh
Jul 1, 2015

bhumika sharma plz post a solution for this question

Take this easy

The answer is 144.

3 solutions

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