+91-87964 74404
FlagBACK
Question icon
Grade 12Algebra

if the equation ax2+ bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

Profile image of Satyadip Mahapatra
10 Years agoGrade 12
Answers icon

1 Answer

Profile image of Vikas TU
10 Years ago
if the equation ax2+ bx + c = 0 does not have 2 distinct real roots
then its D
b^2 – 4ac
b^2
for the condition to b true,
a and c should both be positive or both should be negative.
But as we know for f(x) >=0
only the condition holds for true is:
a>0 and c >0.
hence, f(x) >=0

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
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