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.
quadratic
Q) Solve the following quadratic equation by factorization method: Ans: Please do press “Heart” button if you liked the solution.
Solve the following quadratic equation by factorization method: 4/x – 3 = 5/ (2x + 3) Read More »
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
Solve the following quadratic equation by factorization method.(1/x-2) + (1/x-1)=6/x Read More »
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)
If x=2/3 and x=−3 are the roots of the equation, ax2+7x+b=0, find the values of a and b. Read More »
Q) The graph of the polynomial – ax²+bx+c is shown below. Write the signs of ‘a’ and ‘b² – 4ac’. Ans: Clearly, f(x) = ax² + bx + c represent a parabola opening upwards. Therefore, a>0 Since, the parabola cuts the x-axis at two points, this means that the polynomial will have two real solutions. Hence,
Q) Find the value of m for which the quadratic equation (m + 1) y2 – 6(m+1) y + 3(m+9) = 0, m ≠ -1 has equal roots. Hence find the roots of the equation. [CBSE, Sample Question Paper – Standard – 2024] Ans: Given quadratic equation is: (m
Find the value of m for which the quadratic equation (m + 1) y2 – 6(m+1) y + 3(m+9)= 0 Read More »
Q) If 𝛼, β are zeroes of quadratic polynomial x2 – 2x + 3, find the polynomial whose roots are:1. 𝛼 + 2, 𝛽 + 22. Ans: Given polynomial equation x2 – 2x + 3 = 0 Comparing with standard polynomial, ax2 + b x + c = 0, we get, a = 1, b =
Q) Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a speed of x km/h while Ajay’s car travels 5 km/h faster than Raj’s car. Raj took 4 hours more than Ajay to complete the journey of 400 km. 1. What
Raj and Ajay are very close friends. Both the families decide to go to Read More »
Q) Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time (in hrs) which each tap can separately fill the tank. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION It is given that,Time taken