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 Math Worksheets > Equation Worksheets > Quadratic Equations

 Quadratic equation always represent parabola. Parabola is open up when the coefficient of x square is positive and open down when it is negative. Quadratic equation is very useful in many physical and science applications. The parabola can lie entirely above or below the x-axis without any intersection. Such parabolas do have imaginary roots. If the parabola touches the x axis, then it has repeated solutions. In case if it intersects the axis, then it has two distinct real roots. Sketching parabola and finding the roots is not easy all time. Plenty of techniques available to find the roots without graphing the quadratic equations. We have provided quadratic equation worksheets based on all techniques.

### Sum and Product of the Roots:

Identify the sum and product of the roots from the given quadratic equations.

 Find the sum and product of roots-1 Find the sum and product of roots-2 Find the sum and product of roots-3

Frame the quadratic equation using the given sum and product of the roots.

 Form the equation using given roots-1 Form the equation using given roots-2 Form the equation using given roots-3

### Solve by Factoring Method:

Using the product and sum of the roots, split the term with degree one and factorize.

 Factorization method-1 Factorization method-2 Factorization method-3

### Solve by Completing the Square Method:

Make adjustments in constant term to write it in complete square form and then take square root.

 Completion of square method-1 Completion of square method-2 Completion of square method-3

### Solve by Square Root Method:

These worksheets are really helpful for high school students to master their quadratic skills.

 Solve by taking square roots Solve by removing square roots Solve the equations with square roots

### Solve by Graphing Method:

Set of graphing worksheets based on quadratic equations. Sketch the graph and carefully watch the intersection of the curve at x axis to find the solutions of quadratic equations.

 Sketch and find the solution-1 Sketch and find the solution-2 Sketch and find the solution-3

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