Question Text
Question 1 :
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.
Question 2 :
Using method of completing the square , $x^2+4x$ can be written as ?
Question 3 :
Find the roots of the quadratic equation $3x^2 - 2\sqrt{6}x+2=0$, by factorisation.
Question 4 :
Find the roots of the quadratic equation $6x^2 – x – 2 = 0$, by factorisation.
Question 5 :
Find the nature of the roots of the following quadratic equation: $2x^2 – 6x + 3 = 0$
Question 6 :
Using method of completing the square , $9x^2-15x+6=0$ can be written as ?
Question 7 :
Represent the following situation in the form of a quadratic equation : The area of a rectangular plof is 528 $m^2$. The length of the plof (in metres) is one more than twice its breadth. We need to find the length and breadth of the plof.
Question 8 :
Check whether the following is quadratic equation : $x^2 - 2x = (-2)(3-x)$
Question 9 :
State True or False whether the following quadratic equation has two distinct real roots: $x\left(1-x\right)-2=0$
Question 10 :
Check whether the following is quadratic equation : $x^3 - 4x^2 - x + 1 = (x-2)^3$
