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91Ó°ÊÓ

Solve 3t2+6=70.

Short Answer

Expert verified

The solutions are t=833,t=-833.

Step by step solution

01

Given Information.   

The Given equation is 3t2+6=70.

02

Isolate the quadratic term and makes its coefficient one.    

3t2=70-63t2=64t2=643

03

 Use the square root property. 

t=±643

Factor the radical.

t=±643t=±8×83t=±83

04

Rationalize the denominator. 

t=±83×33t=±833

Rewrite to show two solutions.

t=833,t=-833

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