Question Text
Question 1 :
Check whether the following is quadratic equation : $x^2 - 2x = (-2)(3-x)$
Question 2 :
Is it possible to design a rectangular mango grove whose length is twice its breadth,and the area is $800 m^2$ ? If so, find its length and breadth.
Question 3 :
Find the roots of the following quadratic equation by factorisation: $x^2 – 3x – 10 = 0$
Question 5 :
Check whether the following is a quadratic equation: $(x + 2)^3 = x^3 – 4$
Question 7 :
A natural number whose square diminished by 84 is equal to thrice of 8 more than the given number is?
Question 8 :
At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present age of Nisha.
Question 9 :
Does the following equation has the sum of its roots as 3? $2x^2-3x+6=0$
Question 10 :
Does the following equation has the sum of its roots as 3? $\sqrt{2}x^2-\frac{3}{\sqrt{2}}x+1=0$