Home > Problem of the Week > Archive List > Detail

<< Prev 9/28/2008 Next >>

Hiding Surprises Under Exponents

Find all real values of x that satisfy (x2-5x+5)x2-9x+20=1.

What makes this problem interesting?

Can you solve this problem graphically using a TI-calculator?

Can you generalize the problem?

 


Hint: The Key is = 1.

Focus on the base and its properties...then on the exponent and its properties...then try to think collectively.

 


Solution Commentary: This problem is as easy as 1, 2, 3, 4.....