Flag Algebra> ​ x 7 +14x ​ ​5 +16x 3 +30​x-560 ​how man...
question mark

​x7+14x​​5+16x3+30​x-560​how many real solutions does this equation have

Manvendra , 8 Years ago
Grade 12
anser 3 Answers
Riddhish Bhalodia

Last Activity: 8 Years ago

when we differentiate the equation we get
7x^6 + 70x^4 + 48x^2 +30 >0 , \quad \forall x \in \mathbb{R}
and hence the function is monotonic
and f(0) is negative and then it will continiously increase till infinity and hence will cross the x axis only once
Thus it has only one real root

Prabhakar ch

Last Activity: 8 Years ago

Dear friend this has only one real root all the best for your bright future

SHAIK HAFEEZUL KAREEM

Last Activity: 8 Years ago

and hence the function is monotonicand f(0) is negative and then it will continiously increase till infinity and hence will cross the x axis only onceThus it has only one real root7x^6 + 70x^4 + 48x^2 +30 >0 , \quad \forall x \in \mathbb{R}when we differentiate the equation we get

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...