Tamil Nadu Board Solutions for Chapter: Basic Algebra, Exercise 13: Exercise

The number of solutions of $x^2+|x-1|=1$ is

The equation whose roots are numerically equal but opposite in sign to the roots of $3x^2-5x-7=0$ is

If $8$ and $2$ are the roots of $x^2+ax+c=0$ and $3,3$ are the roots of $x^2+dx+b=0,$ then the roots of the equation $x^2+ax+b=0$ are

If $a$ and $b$ are the real roots of the equation $x^2-kx+c=0,$ then the distance between the points $(a, 0)$ and $(b, 0)$ is

If $\frac{kx}{(x+2)(x-1)}=\frac{2}{x+2}+\frac{1}{x-1},$ then the value of $k$ is

If $\frac{1-2x}{3+2x-x^2}=\frac{A}{3-x}+\frac{B}{x+1},$ then the value of $A+B$ is

The number of roots of $(x+3{)}^4+(x+5{)}^4=16$ is

The value of ${\log }_{3}11·{\log }_{11}13·{\log }_{13}15·{\log }_{15}27·{\log }_{27}81$ is