help@askiitians.com

+91-87964 74404

Grade 11Algebra

Find the values of m so that the expression x²-5mx+4m²+1 is always positive for real values of x.

Please answer this problem as soon as possible.

Technical Nafis

7 Years agoGrade 11

1 Answer

Susmita

Approved Tutor Answer7 Years ago

Whenever u get a problem like this try to write in whole square form.

x²-5mx+4m²+1

$=x^2 -2.x.\frac{5m}{2}+(\frac{5m}{2})^2-(\frac{5m}{2})^2 +4m^2 +1$ $=(x -\frac{5m}{2})^2-(\frac{5m}{2})^2 +4m^2 +1$

$=(x -\frac{5m}{2})^2+1-\frac{9m^2}{4}$

So for it to be always positive

$1-\frac{9m^2}{4}=0$

$Or,m=\pm \frac{2}{3}$

Please approve if you are help.thank you.

What is a binomial expression?

algebra

1 Answer Available

Last Activity: 2 Years ago

Can we divide two vectors? If this is possible then how?

algebra

1 Answer Available

Last Activity: 2 Years ago

How do you write “the product of 18 and q” as an algebraic expression?

algebra

1 Answer Available

Last Activity: 2 Years ago

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

algebra

1 Answer Available

Last Activity: 3 Years ago

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

algebra

1 Answer Available

Last Activity: 3 Years ago

View all Questions