Question

5t^2+30t-51=0 answer this question

Answer 1

solution:-

=> 5t²+30t-51=0

Solving 5t²+30t-51 = 0 by Completing The Square.

Divide both sides of the equation by 5

=> t²+6t-(51/5) = 0

=> t² + 6t = 51/5

So adding 9 to both sides we finally get :

=> t²+6t+9 = 51/5 + 9

=> t²+6t+9 = 96/5

=> t² + 3t +3t + 9 = 96/5

=> t ( t + 3) + 3 (t +3) = 96/5

=> ( t + 3) ( t + 3) = 96/5

=> ( t + 3)² = 96/5

=> t + 3 = √96/5

has two solutions:

t = -3 + √ 96/5

or

t = -3 - √ 96/5

I hope it helps you......

Answer 2

Step-by-step explanation:

5t² +30t _51 = 0.....................