When x is real what is the least value of
(x**2-6*x+5)/(x**2+2*x+1)
- 4 Answers
- 9092 Views
- Geometric Software, GSSL, I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / kermit rose
(x**2 - 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it's numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 - (x-1)(x-5)( 2 (x+1) )
= (2 x - 6) (x+1)**2 - (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) - (x-1)(x-5) = 0
(x**2 - 2 x - 3 ) - (x**2 - 6 x + 5) = 0
x**2 - x**2 - 2 x + 6 x - 3 - 5 = 0
4 x - 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 - 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 - 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
| Is This Answer Correct ? | 1 Yes | 0 No |
Answer / shanoor
if also we divide by 1/9 the answer will be above 3 value so
.if we divide by 1/3 answer will be less so 1/3 is the least one
| Is This Answer Correct ? | 0 Yes | 1 No |
There are 7 people who take a test among which M is the worst, R is disqualified, P and S obtain same marks, T scores less than S and Q scores less than P, N scores higher than every one.
The cost of four dozen proof machine ribbons and five dozen accounting machine ribbons was Rs.160/-. If one dozen accounting machine ribbons cost Rs.20/-, what is the cost of a dozen proof machine ribbons?
The major component of CNG is a. Ethane b. Propane c. Butane d. Methane
Two sides of triangle are 14 and 16.hat could be the third side?
Bactria double every 3 mins. It is N in 1 hour, when was it N/4?
Bird : Fly : : Snake : ? (A) Timid (B) Clatter (C) Crawl (D) Hole
. Select the correct statement a. NEXT SENTENCE and CONTINUE functionally does the same. b. Never can code a DECLARE CURSOR statement in procedure division. c. Edited numeric characters can be included in arithmetic operations. d. The Sub parameters of a DCB parameter are Keyword parameters.
A clerk multiplied a number by ten when it should have been divided by ten.The ans he got was 100.what should the ans have been?
In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a team with 20% women how many men should be hired?
How do u write 6th may 2011 in 5 letters without using number??
In a certain code, ?BELIEF? is written as ?AFKKDI?. How is ?SELDOM? written in that code ? (A) RDKCNL (B) TFKENP (C) RFKENM (D) RFKFNP (E) None of these
Find the value of @@+25-++@16, where @ denotes "square" and + denotes "square root".
English 
