# Solving Word Problems Using Quadratic Equations

1/t 1/(t-1min) = 76/360 This leads to 19*t^2 - 180*t 71 = 0 (steps suppressed) The answer is ~9.06 min, the other is less than half a min.

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

In the word problems, however, students had difficulties comprehending the context and were therefore unable to formulate the equation to be solved.

If the first one walks $v$ km/hour, he takes $\frac v$ minutes to walk $1$ km.

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.

Of course you want to ensure you have a solid understanding of solving quadratic equations before watching this lesson.

Like all word problems in math, there is no one single procedure you can use to solve a problem.

Baring errors does mine match your expected result?

Quadratic applications are very helpful in solving several types of word problems (other than the bouquet throwing problem), especially where optimization is involved.

Two pedestrians simultaneously head towards each other from two different locations. The first says that by combining their speeds, the two pedestrians cover the 76 km in six hours: $$= 6\text\cdot60\text.$$ I’m measuring the speeds in km/min, so the time is converted into minutes.

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

Like all word problems in math, there is no one single procedure you can use to solve a problem.

Baring errors does mine match your expected result?

Quadratic applications are very helpful in solving several types of word problems (other than the bouquet throwing problem), especially where optimization is involved.

Two pedestrians simultaneously head towards each other from two different locations. The first says that by combining their speeds, the two pedestrians cover the 76 km in six hours: $$= 6\text\cdot60\text.$$ I’m measuring the speeds in km/min, so the time is converted into minutes.

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.

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Like all word problems in math, there is no one single procedure you can use to solve a problem.Baring errors does mine match your expected result?Quadratic applications are very helpful in solving several types of word problems (other than the bouquet throwing problem), especially where optimization is involved.Two pedestrians simultaneously head towards each other from two different locations. The first says that by combining their speeds, the two pedestrians cover the 76 km in six hours: $$= 6\text\cdot60\text.$$ I’m measuring the speeds in km/min, so the time is converted into minutes. 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.The amount of effort you invest in practicing solving word problems will be directional proportional to your mastery of them.Lastly, quadratic equation word problems are interesting and I think fun- really study hard as these type of problems are on many tests to include the SAT/ACT.Find the highest point that her golf ball reached and also when it hits the ground again.Find a reasonable domain and range for this situation.TRACE (CALC), 4 (maximum), moved the cursor to the left of the top after “Left Bound? ” move the cursor anywhere to the right of that zero and hit ENTER. Height versus distance would be the path or trajectory of the bouquet, as in the following problem.”, moved the cursor to the right of the top after “Right Bound? To get the root, push 2 TRACE (CALC), and then push 2 for ZERO (or move cursor down to ZERO). ” Using the cursors, move the cursor anywhere to the left of the zero (where the graph hits the $$x$$-axis) and hit ENTER. Audrey throws a ball in the air, and the path the ball makes is modeled by the parabola $$y-8=-0.018$$, measured in feet.

$km. We then get$=6v 6\cdot \frac  Using the formula $t=d/v$, you can write down two equations from the statements in the problem.

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