JEE MAIN - Mathematics (2022 - 28th June Morning Shift - No. 10)
The number of real solutions of
$${x^7} + 5{x^3} + 3x + 1 = 0$$ is equal to ____________.
$${x^7} + 5{x^3} + 3x + 1 = 0$$ is equal to ____________.
0
1
3
5
Explanation
_28th_June_Morning_Shift_en_10_1.png)
$f^{\prime}(x)=7 x^{6}+15 x^{2}+3>0 \,\,\forall\,\, x \in R$
$f(x)$ is always increasing
So clearly it intersects
x-axis at only one point
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