R. D. Sharma Solutions for Chapter: Quadratic Equations, Exercise 1: EXERCISE 4.1

Determine whether the given values are solutions of the given equation or not:

$x^2-3x+2=0, x=2, x=-1$

In the following, determine whether the given values are solutions of the given equation or not:

$x^2+x+1=0, x=0, x=1$.

In the following, determine whether the given values are solutions of the given equation or not:

$x^2-3\sqrt{3}x+6=0, x=\sqrt{3},x=-2\sqrt{3}$

In the following, determine whether the given values are solutions of the given equation or not:

$x+\frac{1}{x}=\frac{13}{6}, x=\frac{5}{6}, x=\frac{4}{3}$.

In each of the following, determine whether the given values are solutions of the given equation or not:

$2x^2-x+9=x^2+4x+3, x=2, x=3$

In each of the following, determine whether the given values are solutions of the given equation or not:
$x^2-\sqrt{2}x-4=0,x=-\sqrt{2},x=-2\sqrt{2}$

Determine whether the given values are solutions of the given equation or not:
$a^2{x}^2-3abx+2b^2=0, x=\frac{a}{b}, x=\frac{b}{a}$

If $x=\frac{2}{3}$ and $x=-3$ are the roots of the equation $a{x}^2+7x+b=0$, find the value of $a+b$.