# Using Quadratic Equations To Solve Word Problems

Student difficulties in solving symbolic problems were mainly associated with arithmetic and algebraic manipulation errors.

Thus, it is concluded that the differences in the structural properties of the symbolic equations and word problem representations affected student performance in formulating and solving quadratic equations with one unknown.

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. How much time does individual pedestrian need in order to walk 1km of path, if the first pedestrians walks this path of 1km one minute less than the other pedestrian? The second one takes $\frac v-1$ minutes to walk $1$ km. We then get $$76=6v 6\cdot \frac$$ Using the formula $t=d/v$, you can write down two equations from the statements in the problem.

Many quadratic equations cannot be solved by factoring.

This is generally true when the roots, or answers, are not rational numbers.

The second fact is that it takes the second pedestrian one more minute than the first to cover 1 km, so you have $$\frac1 1=\frac1.$$ Solve the two equations for $v_1$ and $v_2$ and then compute $1/v_1$ and $1/v_2=1/v_1 1$, or substitute $t_1=1/v_1$ and $t_2=1/v_2$ into the two equations and solve for the times directly.

There will be two solutions to this system of equations, but one of them doesn’t make physical sense for this problem, so that one will be rejected. So I will reproduce what you have with slightly different notation.

Question: i think i know the basics of how to solve direct quadratic equations,but how do i go about solving those word problems? :):):):):)For problem 1 the amount each man earned is his hourly rate times the number of hours he worked. Suppose that Bob makes \$R per hour and he worked for H hours.

i have tried them times and again, but nothing seems to work at all!

Data was collected through an open-ended questionnaire comprising eight symbolic equations and four word problems; furthermore, semi-structured interviews were conducted with sixteen of the students.

In the data analysis, the percentage of the students’ correct, incorrect, blank, and incomplete responses was determined to obtain an overview of student performance in solving symbolic equations and word problems.