Quadratic Equation (Check my Workings ?)

Click For Summary
The quadratic equation 3t^2 + 7t - 5 = 0 was solved using the quadratic formula. The calculations led to two potential solutions: t = -4.39 and t = -9.61. However, these results differ from the tutor's answer of t = 0.573 and t = -2.907. The error was identified as a miscalculation in the denominator, which should not equal 4. This highlights the importance of careful arithmetic in solving quadratic equations.
lloydowen
Messages
78
Reaction score
0

Homework Statement



Solve using the formula method.

Homework Equations



3t^2+7t=5

The Attempt at a Solution



3t^2+7t-5=0<br /> t= \frac{-7 +or-\sqrt{7^2-4(3)(-5)}}{2(3)}<br /> <br /> t= \frac{-7+\sqrt{109}}{4}<br /> t= -4.39<br /> OR...
t= \frac{-7-\sqrt{109}}{4}<br /> t= -9.61

The reason I have doubts is because the answer book from the tutor shows, T= 0.573 or -2.907... ? :(
 
Physics news on Phys.org
Ah ****, misuse of the formula tags, :( For some reason it won't let me go back and edit, hope you guys can understnad that :/
 
lloydowen said:
3t^2+7t-5=0<br /> t= \frac{-7 +or-\sqrt{7^2-4(3)(-5)}}{2(3)}<br /> <br /> t= \frac{-7+\sqrt{109}}{4}<br /> t= -4.39<br /> OR...
t= \frac{-7-\sqrt{109}}{4}<br /> t= -9.61

The reason I have doubts is because the answer book from the tutor shows, T= 0.573 or -2.907... ? :(
In the denominator, 2(3) does not equal 4.
 
Oh! Such a silly mistake, I feel like a fool now !
 

Similar threads

Replies
3
Views
1K
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K