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Question Number 95766 by I want to learn more last updated on 27/May/20

Solve the equation 2^(2x) − 5x^2 + 4 = 0

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{2x}} \:\:−\:\:\mathrm{5x}^{\mathrm{2}} \:\:+\:\:\mathrm{4}\:\:\:=\:\:\:\mathrm{0} \\ $$

Commented by prakash jain last updated on 27/May/20

x=2 is one obvious solution. Rest you have to numerical techniques. You need to provide some context to the quesion so that it is clear what is expected. It is quite possible the question only expects you to apply numerical techinque and you are allowed to use scientific calculator (almost in all exams after K−12).

$${x}=\mathrm{2}\:\mathrm{is}\:\mathrm{one}\:\mathrm{obvious}\:\mathrm{solution}. \\ $$$$\mathrm{Rest}\:\mathrm{you}\:\mathrm{have}\:\mathrm{to}\:\mathrm{numerical} \\ $$$$\mathrm{techniques}. \\ $$$$ \\ $$$$\mathrm{You}\:\mathrm{need}\:\mathrm{to}\:\mathrm{provide}\:\mathrm{some}\:\mathrm{context} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{quesion}\:\mathrm{so}\:\mathrm{that}\:\mathrm{it}\:\mathrm{is}\:\mathrm{clear} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{expected}.\: \\ $$$$\mathrm{It}\:\mathrm{is}\:\mathrm{quite}\:\mathrm{possible}\:\mathrm{the}\:\mathrm{question} \\ $$$$\mathrm{only}\:\mathrm{expects}\:\mathrm{you}\:\mathrm{to}\:\mathrm{apply}\:\mathrm{numerical} \\ $$$$\mathrm{techinque}\:\mathrm{and}\:\mathrm{you}\:\mathrm{are}\:\mathrm{allowed} \\ $$$$\mathrm{to}\:\mathrm{use}\:\mathrm{scientific}\:\mathrm{calculator}\:\left(\mathrm{almost}\right. \\ $$$$\left.\mathrm{in}\:\mathrm{all}\:\mathrm{exams}\:\mathrm{after}\:\mathrm{K}−\mathrm{12}\right). \\ $$

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