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 It would not be wrong to say that, among most people, there exists a kind of fear associated with the subject of mathematics. In the field of education, there is perhaps no phobia greater than math phobia. Who knows why the subject that is closest to our daily life is the very one we fear the most. The moment the name “mathematics” is mentioned, students begin to break into a sweat. Anyway, this phobia has existed among humans for a very long time, and it would not be wrong to say that, psychologically, it has become dominant in human DNA. Everyone panics as soon as its name is heard, while the mathematics book stands smiling in some corner, as if saying, “Look at me—my condition is still the same as it was when I was first created, because students are afraid even to touch me.” I am just like a newlywed bride. The books of other subjects weep over their condition, because they have been used so ruthlessly that their pages are dirty, worn out, and often no longer even in their pro...

 Finding the roots of a quadratic equation using the factorization method We take a quadratic equation: x^2 + 5x + 6 = 0 First, we check whether there is any coefficient of  x2. This means we see if any number other than 1 is multiplied with . If the coefficient of is 1, then we factor the last number (6) in such a way that the sum of the factors is 5 (or −5, depending on the sign of the middle term). Finding the Roots of a Quadratic Equation by Factorization Method We take a quadratic equation: x^2 + 5x + 6 = 0 First, we check the coefficient of x^2. If the coefficient of x^2 is 1, we factor the last term in such a way that the sum of the factors is equal to the coefficient of x. The factors of 6 are 2 and 3, and: 2 + 3 = 5 So, the equation becomes: x^2 + 3x + 2x + 6 = 0 Now taking common factors: x(x + 3) + 2(x + 3) = 0 (x + 3)(x + 2) = 0 Equating each factor to zero: x + 3 = 0 x = -3 x + 2 = 0 x = -2 Hence, the roots of the equation are: x = -3 and x = -2 When the coefficie...

 Using a very easy trick, we can find the roots of any quadratic equation. First of all, we will understand the different parts of an equation. To understand the type of an equation, we must first understand the variable, because only then can we identify what type of equation it is. A variable in an equation is indicated by English letters. Most commonly, variables are represented by x and y, but we can use any letter. Variable: A variable is the part of an equation whose value is not fixed. In a quadratic equation, the power (or index) of the variable is always two. Examples: x² m², etc. General form of a quadratic equation: Here, a, b, and c are constants. The value of a is never zero. Set – A (Single Variable) 1. x^2 + 5x + 6 = 0 2. x^3 − 4x + 1 = 0 3. 2y^2 − 7y = 0 4. 5x + 9 = 0 5. 3m^2 + 2m + 1 = 0 6. a^2 = 4 7. x^2 + x^3 = 0 8. 7p^2 − 11 Practice set: Questions 1. x^2 + 5x + 6 = 0 2. x^3 − 4x + 1 = 0 3. 2y^2 − 7y = 0 4. 5x + 9 = 0 5. 3m^2 + 2m + 1 = 0 6. a^2 = 4 7. x^2 + x^...