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Marysya12 [62]
2 years ago
12

0=-16t^2 +10 Solve for t

Mathematics
2 answers:
Veseljchak [2.6K]2 years ago
5 0

0=-16t^2 +10 \\\\16t^2=10\\\\t^2=\dfrac{10}{16}=\dfrac{5}{8}\\\\t=\sqrt{\dfrac{5}{8}} \vee t=-\sqrt{\dfrac{5}{8}}\\\\t=\dfrac{\sqrt5}{\sqrt8} \vee t=-\dfrac{\sqrt5}{\sqrt8}\\\\t=\dfrac{\sqrt5}{2\sqrt2} \vee t=-\dfrac{\sqrt5}{2\sqrt2}\\\\t=\dfrac{\sqrt{10}}{2\cdot2} \vee t=-\dfrac{\sqrt{10}}{2\cdot2}\\\\t=\dfrac{\sqrt{10}}{4} \vee t=-\dfrac{\sqrt{10}}{4}

KengaRu [80]2 years ago
4 0

Answer:

plus or minus √10 / 4

Step-by-step explanation:

0=-16t^2 +10 becomes easier to solve if we rewrite it as 16t^2 = 10.

Then t^2 = 10/16 = 5/8, and t = plus or minus √(5/8), or

                                             t = plus or minus (√5) / √8), or

                                             t = plus or minus (√5)√8         √5*2√2

                                                                         ------------- = -------------------

                                                                                 8                    8

or                                                                 plus or minus √10 / 4

                                           

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