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91Ó°ÊÓ

Solve by completing the square :

4t2+2t=20

Short Answer

Expert verified

The required value oftis2,-52

Step by step solution

01

Given information

4t2+2t=20

02

Calculation

4t2+2t=20⇒4t2+2t4=204⇒t2+12t=5⇒t2+2t+(12×12)2=5⇒t2+2t+116=5+116⇒(t+14)2=8116⇒t+14=±8116⇒t=-14±8116=-14±94=-14+94,-14-94=84,-104=2,-52

The required value oftis2,-52

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