QUADRATIC EQUATIONS (LECTURE 4)

Quadratic Equations 

Lesson-4, Day-4
Good Morning  😎

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Learning outcomes, covered so far:

1. recall general form of a quadratic equation

2. identify  any  given equation as quadratic .

3. form quadratic equations from word problems . 

4. solve quadratic equations by factorization method hence, the roots of the equation.
5. comprehend and translate the word problems as quadratic equations and solve them  using factorization method.

Today's learning outcome is:

I will be able to:
1. Comprehend quadratic formula
2. Apply quadratic formula to find roots of the quadratic equation

                               

Please ➤

Please write this new word in your diary with today's date:

caveat :a warning or provision of specific stipulations, conditions, or limitations.

Can also be interpreted as:

Q1) Find the roots of the quadratic equation using the quadratic formula:

3x² - 5x + 2 = 0

A1) Step-1: a = ___ , b = ____ , c =____

        {Hint: Coefficients x² , x & constant}

Step-2: d = (__) - 4(__)(__) = ____

        {Hint: Coefficients x² , x & constant}

Step-3: if d < 0 then , Answer = "No Real Roots" , else got to STEP-4

Step-4: α = {-(__) + √__} / 2(__)  = ____

             β = {-(__) - √__} / 2(__)  = ____

                          {Hint: input the values of b, d and a in that order for both α & β, refer to

the formula in the picture give above}

Q2) Find the roots of the quadratic equation using the quadratic formula:

x² + 4x + 5 = 0

A2) Step-1: a = ___ , b = ____ , c =____

        {Hint: Coefficients x² , x & constant}

Step-2: d = (__) - 4(__)(__) = ____

        {Hint: Coefficients x² , x & constant}

Step-3: if d < 0 then , Answer = "No Real Roots" , else got to STEP-4

Step-4: α = {-(__) + √__} / 2(__)  = ____

             β = {-(__) - √__} / 2(__)  = ____

                          {Hint: input the values of b, d and a in that order for both α & β, refer to

the formula in the picture give above}

Q3) Find the roots of the quadratic equation using the quadratic formula:

2x² -2√2x + 1 = 0

A3) Step-1: a = ___ , b = ____ , c =____

        {Hint: Coefficients x² , x & constant}

Step-2: d = (__) - 4(__)(__) = ____

        {Hint: Coefficients x² , x & constant}

Step-3: if d < 0 then , Answer = "No Real Roots" , else got to STEP-4

Step-4: α = {-(__) + √__} / 2(__)  = ____

             β = {-(__) - √__} / 2(__)  = ____

                          {Hint: input the values of b, d and a in that order for both α & β, refer to

the formula in the picture give above}

HOME WORK:

Ex. 4.3 Q2  + Quadratic Eq-1 assignment sent (please access through your student login on redox app or school website)

Take Care & keep smiling