quadratic

Q) A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed? Ans: Let’s consider the original average speed […]

Q) A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train. Ans: Let’s consider the speed of the train is X km/hr. Now, to cover distance of 360 km, it will take

Q)  Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation: Or, Now, if and if Please do press “Heart” button if you liked the solution. 

Q)  Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation: Please do press “Heart” button if you liked the solution. 

Q)    Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can be presented as: Now, the original quadratic equation:   and    and Please do press “Heart” button if you liked the solution. 

Q)    Solve the following quadratic equation by factorization method: Ans: Hence, x = -1, Since, it is given that x Hence, x = – 1 is the only possible solution. Please do press “Heart” button if you liked the solution. 

Q)    Solve the following quadratic equation by factorization method:  Ans: Please do press “Heart” button if you liked the solution. 

Q) Solve the following quadratic equation by factorization method. Ans: Let’s find out the hidden quadratic equation: ∴  ∴  ∴ X (3 X – 5) = 6 (X2 – 3 X + 2) ∴  3 X2 – 5X = 6X2 – 18X + 12 ∴  3X2 -13 X + 12 = 0 ∴ 3 X2

Q) If one root of the quadratic equation 2X2 + kX − 6 = 0 is 2, find the value of k. Also, find the other root. Ans: We know that a root of a polynomial satisfies the polynomial. Here, we are given that X = 2 is the root of the equation 2X2 + kX – 6 =

Q) If X = and X = − 3 are the roots of the equation aX2 + 7X + b = 0, find the values of a and b. Ans: We know that if a and b are the roots of a polynomial, then the polynomial can be given by (X – a) (X – b)