Algebra 01

Algebra Level 4

If α \alpha and β \beta are the roots of the equation ( a − 2 ) x 2 − ( 5 − a ) x − 5 = 0 (a-2)x^2 - (5-a)x - 5 = 0 . Find the integral value of a a if ∣ α − β ∣ = 2 6 |\alpha - \beta| = 2\sqrt6 .


The answer is 3.

View wiki
Raj Rajput by RAJ RAJPUT , 25, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Raj Rajput
Jan 27, 2016

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Some trick... Difference between roots of a quadratic equation is ( b 2 − 4 a c ) a \frac{\sqrt{(b^2-4ac)}}{a}

Manuel Kahayon - 5 years, 4 months ago

Log in to reply

Yes its a trick but it becomes a bit lengthy, after squaring, then simplifying ... BUT ya you can get answer through that also :) :)

RAJ RAJPUT - 5 years, 4 months ago

Log in to reply

Nice question....but don't you think it is overrated!!

Mohit Gupta - 5 years, 4 months ago

Log in to reply

@Mohit Gupta – Yes , appearing to be over-rated. For example a problem of 105 points is also level 4 problem and one having 185 points is also an level 4 problem.

RAJ RAJPUT - 5 years, 4 months ago

don't you think using Quadratic Formula is more efficient than factoring the equation 23a^2-106a+111=0?

Mahmoud Khattab - 3 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...