The standard form of a quadratic equation is ax² bx c.
To solve this problem, we just need 2 important concepts about quadratic equations.
Find the number of girls present in the Sports Meet.
In the Annual Sports Meet in a girls’ school, the girls present in the meet, when arranged in a solid square has 16 girls less in the front row, than when arranged in a hollow square 4 deep.
(Hint: The ratio of the sound intensity is equal to the square of the ratio of their corresponding distances).
Solution There is a square field whose side is 10 m.Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem. Note that the second value could have been gotten by changing the sign on the extraneous solution.Therefore, from the question,\(\frac\) \(\frac\) = 6⟹ \(\frac\) \(\frac\) = 6⟹ \(\frac\) \(\frac\) = 3⟹ \(\frac\) = 3⟹ \(\frac\) = 3⟹ \(\frac\) = 1⟹ 10x 5 = 4x\(^\) – 9⟹ 4x\(^\) – 10x – 14 = 0⟹ 2x\(^\) -5x – 7 = 0⟹ 2x\(^\) - 7x 2x - 7= 0⟹ x(2x - 7) 1(2x - 7) = 0⟹ (2x - 7)(x 1) = 0⟹ 2x - 7 = 0 or x 1 = 0⟹ x = \(\frac\) or x = -1But speed cannot be negative.So, x = \(\frac\) = 3.5Therefore, the speed of the board in still water is 3.5 km/h.Then, the speed of the boat up the stream (or against the stream) = (x - \(\frac\)) km/hour, and the speed of the boat down the stream (or along the stream) = (x \(\frac\)) km/hour.Therefore, time taken to travel 10 km up the stream = \(\frac\) hours and time taken to travel 5 km down the stream = \(\frac\) hours.Warning: Many students get in the very bad habit of arbitrarily changing signs to get the answers they need, but this does not always work, and will very likely get them in trouble later on.Take the extra half a second to find the right answer the right way.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.
Comments Solving Word Problems With Quadratic Equations
QUADRATIC EQUATIONS WORD PROBLEMS -
Howard Sorkin 2000 All rights reserved 1 QUADRATIC EQUATIONS - WORD PROBLEMS QUADRATIC EQUATIONS WORD PROBLEMS Professor Howard Sorkin - MAT 1033 - INTERMEDIATE.…
Quadratic Word Problems page 1
Lecture Notes Quadratic Word Problems page 1. We will solve this quadratic equation by. Since this is a quadratic equation, our only method of solving it is by.…
Solving quadratic equations from word problems.
Quadratic formula, graphical method, raised to power 2, perfect square, indices, exponential equation, a = 0, ax2 + bx + c = 0, constant term, coefficient.…
Quadratic Equation Calculator - Symbolab
Free quadratic equation calculator. Solving quadratics by factorizing. Practice problems limited to one per topic…
Quadratic Equations - Math Is Fun
An example of a Quadratic Equation Quadratic Equations make nice curves, like this one…
Quiz & Worksheet - Solving Equations with the
Quiz & Worksheet - Solving Equations with the. of the quadratic formula and solving. Quadratic Equations Polynomial Problems with a.…
Quadratic equation solver that shows work -
Solving Equations Quadratic Equation Solver;. How to solve quadratic equation . 123 071 887 solved problems.…
How to Solve Word Problems with Quadratic
Directions for solving word problems using quadratic equations. Video.…