Solve the equation.

Question

2t-5√t-3=0

Answer 1

2t - 5√t - 3 = 0

 

2t - 3 = 5√t

 

(2t - 3)² = (5√t)²

 

4t² - 12t + 9 = 25t

 

4t² - 37t + 9 = 0

 

Solve the quadratic equation above and get

 

t = 9 or 1/4

 

But only t = 9 satisfies the original equation, so discard t = 1/4.

 

t = 9