QJEEM22Maa0ba: JEE Main 2022 Mathematics - Class 12 JEEM22Maa0ba Solution: The number of real solutions of is equal to ____________.

Question

Verified Solution • 2025–26 Session moderate

The number of real solutions of

${x^7} + 5{x^3} + 3x + 1 = 0$ is equal to ____________.

Accepted Answer

f^{\prime}(x)=7 x^{6}+15 x^{2}+3&gt;0 \,\,\forall\,\, x \in R

f(x)

is always increasing

So clearly it intersects

x-axis at only one point

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