JEE Delight: Number of solutions of the equation x^2=e^x

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Your graph's playlist helps alot in understanding calculus!

songhoken
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same mistake is present in Sameer Bansal Calculus book Inverse Trig exercise 1, Q39

apratimtewari
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I thought why you put such an easy question but now I know😂

harsh
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Yes sir at first I was also confused you cleared the concept thankyou sir

tree
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I am also done this same mistake. but, now I get cleared.

naveensurya
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What i do is try to draw a graph with distance of 1 unit on all axis as accurately as possible then plot some specific points like
(0, 0²), (1, 1²), (-1, -1²), (2, 4)

And (0, e⁰), (1, e¹) notice already at x=1 e^x function has a lead so definitely it has one solution

canyoupoop