Question Text
Question 2 :
Does the following equation has the sum of its roots as 3? $2x^2-3x+6=0$
Question 4 :
State True or False: Every quadratic equation has at most two roots.
Question 5 :
Find the roots of the following quadratic equation (by the factorisation method): $\frac{2}{5}x^2-x-\frac{3}{5}=0$
Question 6 :
Justify why the following quadratic equation has two distinct real roots: $\left(x-1\right)\left(x+2\right)+2=0$
Question 8 :
Check whether the following is quadratic equation : (x - 2)(x +1)=(x - 1)(x + 3)
Question 9 :
State True or False: Every quadratic equation has at least two roots.
Question 11 :
State True or False whether the following quadratic equation has two distinct real roots: $x^2-3x+4=0$
Question 12 :
Check whether the following is quadratic equation : $(x+1)^2 = 2(x-3)$
Question 13 :
Find the roots of the following quadratic equation (by the factorisation method): $21x^2-2x+\frac{1}{21}=0$
Question 14 :
State True or False: The expression $b^2$ + $4ac$ is called the discriminant of the quadratic equation.
Question 15 :
Find the roots of the quadratic equation $3x^2 - 2\sqrt{6}x+2=0$, by factorisation.
Question 16 :
Check whether the following is quadratic equation : (x-3)(2x + 1)= x(x+5)
Question 18 :
Check whether the following is a quadratic equation: $x^2 – 2x = (–2) (3 – x)$
Question 19 :
State True or False whether the following quadratic equation has two distinct real roots : $\left(x-\sqrt{2}\right)^2-2\left(x+1\right)=0$
Question 20 :
Check whether the following is a quadratic equation: $x(x + 1) + 8 = (x + 2) (x – 2)$