Solve the equation for t and show all work

(4t

^{2})/5=t/5+21/10Solve the equation for t and show all work

(4t^{2})/5=t/5+21/10

Tutors, please sign in to answer this question.

Ambler, PA

Theresa:

This is a quadratic equation that can be solved by first putting it into the form
**at**^{2}+bt+c=0, and then using the quadratic formula to solve for t.

Since both the left and right side of the given equation are divisible by 5, we could simplify by multiplying both sides by 5, and then reduce the fractions to obtain

We can now subtract the terms on the right from both sides bring all terms to get it into the desired form, as follows:

We can now solve for t, using the quadratic formula:

This can be split into two parts, as follows:

Our work can be checked, by separately plugging the resulting values for t back into the original equation to verify that both sides of the the equation come out the same. This is left up to the student.

Let me know if you have any questions.

George T.

Saugus, MA

4t^2/5=(t/5)+21/10

the common denominator is 10

4t^2/5=8t^2/10 and t/5=2t/10

therefore we have (8t^2-2t-21)/10=0

8t^2-2t-21=0

(4t-7)(2t+3)=0

4t-7=0

4t=7

t=7/4

2t+3=0

2t=-3

t=-3/2

Massaer D.

Best Experienced and Passionated Tutor in Maths and Physics

New York, NY

4.2
(9 ratings)

Alex C.

Harvard/MIT Finance and Statistics Tutor

Fort Lee, NJ

5.0
(108 ratings)

Adam L.

MIT Grad For Math and Science Tutoring

New York, NY

4.9
(13 ratings)

- Algebra 3411
- Math 6268
- Math Help 3632
- Algebra 1 2808
- Word Problem 3478
- Algebra 2 2485
- Math Help For College 1060
- Equation 283
- Inequalities 271
- Linear Equations 469

Find a tutor fast. Get the app.

Are you a tutor? Get the app for tutors

© 2005 - 2016 WyzAnt, Inc. - All Rights Reserved