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# Using Alice & Scratch to design a math project to solve the given Quadratic Equations

**Math Project- Quadratic Equations**

Use ** Alice** or

**programs to design “Finding the solutions of Quadratic Equations”**

*Scratch*Use the following given quadratic equations

-*3x2 + x -2 = 0*

*3x2 + 5x = 0*

*3x2 = 6*

*3x2 + 5x = -1*

*x4 - 9x2 + 8 = 0*

**Activity 1: **Find the values of a=_____,b=_____,c=____, in each case.

**Activity 2:** Show all the essential steps to find the discriminants -1. *b*2 −4*ac *< 0 there are no real roots. 2. *b*2 −4*ac* = 0 There is one real root.

3. *b*2 −4*ac *> 0 There are two real roots.

** ****Activity 3:** Find the values of the Roots the Nature of roots by using formula Show the work by using the corresponding values of a, b, & c in the above formula and the on the basis of**Positive, Negative** & **Non**e values, declare that the roots are **REAL or IMAGINARY**.

**Activity 4:** Then declare the kids of solutions as **UNIQUE** Solution, **INFINITELY MANY** Solutions or **NO** Solution, in each case.

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## Math project using ALICE or SCRATCH to solve quadratic equations

Math Project- Quadratic EquationsUseorAliceprograms to design “Finding the solutions of Quadratic Equations”ScratchUse the following given quadratic equations -

3x^{2}+ x -2 = 03x^{2}+ 5x = 03x^{2}= 63x^{2}+ 5x = -1x^{4}- 9x^{2}+ 8 = 0Find the values of a=_____,b=_____,c=____, in each case.Activity 1:AShow all the essential steps to find the discriminants -1.ctivity 2:b^{2}−4ac< 0 there are no real roots. 2.b^{2}−4ac= 0 There is one real root.3.

b^{2}−4ac> 0 There are two real roots.Find the values of the Roots the Nature of roots by using formula Show the work by using the corresponding values of a, b, & c in the above formula and the on the basis ofActivity 3:Positive, Negative&None values, declare that the roots areREAL or IMAGINARY.Then declare the kids of solutions asActivity 4:UNIQUESolution,INFINITELY MANYSolutions orNOSolution, in each case.