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Grade 12Algebra

the equation x5 – 2x2 + 7 = 0 has
(a) Atleast 2 imaginary roots
(b) 2 negative real roots
© 3 positive real roots
(d) none of these
ans:- (a)
plzz give perfect explanation

Profile image of Hrishikesh Bodkhe
10 Years agoGrade 12
Answers icon

1 Answer

Profile image of Vikas TU
10 Years ago
Given equation x5 – 2x2 + 7 = 0 = f let
then
f’ = 5x^4 -4x = 0
x(5x^3 -4) = 0

plot the wavy curve and u will get 
for x > .983 slope increasing and 
for x
and    0
just after plotting the grapgh u will find that it has 2 real positive roots and one negative. and therfore remaing 2’s are imaginary.

hence (aP option.) 

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