Question Text
Question 1 :
Find two numbers whose sum is 27 and product is 182.
Question 3 :
Check whether the following is a quadratic equation: $x^2 + 3x + 1 = (x – 2)^2$
Question 4 :
Check whether the following is a quadratic equation: $(x – 2)(x + 1) = (x – 1)(x + 3)$
Question 5 :
Find the roots of the quadratic equations, if they exist, by applying quadratic formula: $2x^2 – 7x + 3 = 0$
Question 6 :
Find the nature of the roots of the following quadratic equation: $3x^2 – 4\sqrt{3}x + 4 = 0$
Question 7 :
Find the nature of the roots of the following quadratic equation: $2x^2 – 6x + 3 = 0$
Question 8 :
Find the roots of the following quadratic equation by factorisation: $x^2 – 3x – 10 = 0$
Question 9 :
Find the roots of the following quadratic equation by factorisation: $\sqrt{2}x^2+7x+5\sqrt{2}=0$
Question 10 :
Check whether the following is a quadratic equation: $(x + 2)^3 = 2x (x^2 – 1)$