# Problem Solving Using Quadratic Equations

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Sometimes, we will need to do some algebra to get the equation into standard form before we can use the Quadratic Formula.

When we solved linear equations, if an equation had too many fractions we ‘cleared the fractions’ by multiplying both sides of the equation by the LCD.

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This property may seem fairly obvious, but it has big implications for solving quadratic equations.

If you have a factored polynomial that is equal to 0, you know that at least one of the factors or both factors equal 0.

We cannot take the square root of a negative number.

So, when we substitute , , and into the Quadratic Formula, if the quantity inside the radical is negative, the quadratic equation has no real solution. The quadratic equations we have solved so far in this section were all written in standard form, .

The two values that we found via factoring, x = −4 and x = 3, lead to true statements: 0 = 0. But x = 5, the value not found by factoring, creates an untrue statement—27 does not equal 0!

Note in the example above, if the common factor of 2 had been factored out, the resulting factor would be (−r 3), which is the negative of (r – 3).

Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14. If you're seeing this message, it means we're having trouble loading external resources on our website.…

Quadratic Equation Word Problems Worksheet with Answers Worksheet given in this section is much useful to the students who would like to practice solving word problems on quadratic equation. Quadratic Equation Word Problems Worksheet with Answers - Problems. Problem 1 Difference between a number and its positive square root is 12. Find the.…

• ###### Solve quadratic equation with Step-by-Step Math Problem Solver

Solve word problems involving quadratic equations. Certain types of word problems can be solved by quadratic equations. The process of outlining and setting up the problem is the same as taught in chapter 5, but with problems solved by quadratics you must be very careful to check the solutions in the problem itself.…

• ###### Solve a Quadratic Equation Using the Quadratic Formula - WebMath

Solve a Quadratic Equation Using the Quadratic Formula This page will show you how to use the quadratic formula to get the two roots of a quadratic equation. Fill in the boxes to the right, then click the button to see how it’s done.…

• ###### Solving Problems using the Quadratic Formula -

Test your knowledge of solving problems using the quadratic formula by using this interactive quiz. Utilize the worksheet to identify the more.…

• ###### How to Solve Word Problems Using Quadratic Equations

How to Solve Word Problems Using Quadratic Equations, Ch. 5.2, Algebra 2 Advanced.…

• ###### Word Problems Involving Quadratics - sites.millersville.edu

Word Problems Involving Quadratics. These word problems involve situations I've discussed in other word problems The area of a rectangle, motion time, speed, and distance, and work. However, these problems lead to quadratic equations. You can solve them by factoring or by using the Quadratic Formula.…