f(x)=/ square -6x+k

If sigma and b are the zeroes of the polynomial f(x)=x square -6x+k
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

f(x)=x²-6x+k=x²-6x+9-9+k=(x-3)²-9+k.

To find the zeroes of f(x), solve (x-3)²-9+k=0 so (x-3)²=9-k. If zeroes are not complex then 9-k≥0.

So k≤9 and x=3±√(9-k) so the zeroes are 3+√(9-k) and 3-√(9-k).

by Top Rated User (1.0m points)
5 Common Cat Behaviours And What Th...
5 Common Cat Behaviours And What They Mean

Related questions

1 answer
x^2+24+4y+6x^2
asked Mar 31, 2019 in Algebra 1 Answers by anonymous | 309 views
1 answer
Polynomial P(x)=x^4 - 4x^3 + hx^2 - 6x + 2 has a factor in the form (x-m)^2
asked Aug 6, 2013 in Other Math Topics by areillow Level 1 User (120 points) | 433 views
1 answer
If 2.4x^3+6x^2+1.6x+0.75+b=1.8x^3+6x^2-11x+0.4, then b = ?
asked Jul 2, 2013 in Algebra 2 Answers by anonymous | 473 views
1 answer
(x^2+5x-9)+(-6x^2-x+1)+(x^2-x-7)
asked Jun 24, 2013 in Algebra 1 Answers by anonymous | 283 views
1 answer
(6x-1/5)(6x-1/5)
asked May 31, 2013 in Algebra 1 Answers by anonymous | 269 views
0 answers
simplify (11x+3x+19)+(6x^2-18x-8)
asked Apr 17, 2013 in Algebra 2 Answers by anonymous | 391 views
1 answer
What is the GCF for the polynomial 4x³-8x²+6x
asked Apr 12, 2013 in Pre-Algebra Answers by anonymous | 827 views
0 answers
factor 2x^3+6x^2+x+3
asked Mar 18, 2013 in Algebra 2 Answers by anonymous | 411 views
0 answers
6x^2 - 26x - 20
asked Mar 12, 2013 in Algebra 1 Answers by anonymous | 613 views
0 answers
what is the polynomial that equals 80-6x^2
asked Mar 7, 2013 in Geometry Answers by anonymous | 265 views
0 answers
-6x^3+12x^2+x-2
asked Mar 6, 2013 in Algebra 2 Answers by anonymous | 309 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (2)
  3. If the Inflation Rate in 1996 was tripled and the House Price Index was only affected by inflation, what would the House Price Index Outside the Capital be starting in 1997? (2)
  4. How do u solve q+d(-2.5q+94.5)=60 using systems of equations? (1)
  5. Is 0.3 greater than 0.33 (2)

Most popular tags

87,138 questions
97,020 answers
2,373 comments
24,439 users