Its obviously squared, right?

Algebra Level 3

If 7 x 4 -7 \le x \le 4 where x R x \in \mathbb R , then a x 2 b a \le x^2 \le b Find a + b a+b .


The answer is 49.

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

Rishik Jain
Mar 12, 2016

First instinct is to think that 16 x 2 49 16 \le x^2 \le 49 . But the numbers lying in 4 < x < 4 -4 \lt x \lt 4 will not satisfy the assumed range. Since x R x \in \mathbb{R} , the minimum value of x 2 x^2 will be 0 0 , and hence the range will be 0 x 2 49 0 \le x^2 \le 49 . Thus the answer is 0 + 49 = 49 \boxed{\color{#D61F06}{0+49}=\color{#3D99F6}{49}}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...