1) Study the equation m² - 5m + 3 = 0 and write the answers of the fo

1.	1) Study the equation m² - 5m + 3 = 0 and write the answers of the followingquestions.a) Is this a quadratic equation? Why?b) Can you solve this equation by factorization? Give reason.c) If 3 is added to left side of the given equation then can you solve the newequation by factorization. Give reason.
Answer» Answer. a) Yes, it is. b) No, we can't. c) Yes, we can. Answer Keys. Quadratic Equation An equation having the highest degree of 2. Factorization Showing an expression as products. Solution. a) This equation has the highest degree of 2, because of $m^2$ . b) We cannot solve it through factorization, because this will involve square roots[1]. c) The NEW equation is $m^2-5m+6=0$ . The TWO factors are $m-2,m-3$ . For the product to be zero, each factor needs to be zero. Solutions are $m=2$ or $m=3$ . More information. [1] We can solve $m^2-5m+3=0$ using complete the square METHOD or quadratic formula. The solutions are $m=\dfrac{5\pm\sqrt{13}}{2}$ . Methods of Solving Quadratic Equation Factorization For the expression to be zero, each factor needs to be zero. However, this may not work for some equations. Complete the Square Method This involves the concept of the square root. This method is not used because it uses a lot of time. Quadratic Formula This is a more generalized method of complete the square method. This works where factorization doesn't work.

1) Study the equation m² - 5m + 3 = 0 and write the answers of the followingquestions.a) Is this a quadratic equation? Why?b) Can you solve this equation by factorization? Give reason.c) If 3 is added to left side of the given equation then can you solve the newequation by factorization. Give reason.

Answer»

Answer.

a) Yes, it is.

b) No, we can't.

c) Yes, we can.

Answer Keys.

Quadratic Equation

An equation having the highest degree of 2.

Factorization

Showing an expression as products.

Solution.

a) This equation has the highest degree of 2, because of $m^2$ .

b) We cannot solve it through factorization, because this will involve square roots[1].

c) The NEW equation is $m^2-5m+6=0$ . The TWO factors are $m-2,m-3$ . For the product to be zero, each factor needs to be zero. Solutions are $m=2$ or $m=3$ .