(i) $2{{x}^{2}}~+~kx~+\text{ }3\text{ }=\text{ }0$ Comparing the given equation with ax2 + bx + c = 0, we get, a = 2, b = k and c = 3 As we know, Discriminant = b2 – 4ac $=\text{ }{{\left( k...

Solution: Let’s say, the age of one friend be x years. Then, the age of the other friend will be (20 – x) years. Four years ago, Age of First friend = (x – 4) years Age of Second friend = (20 – x –...

Solution:      Let the breadth of mango grove be l. Length of mango grove will be 2l. Area of mango grove $=\text{ }\left( 2l \right)\text{ }\left( l \right)=\text{ }2{{l}^{2}}$ $2{{l}^{2~}}=\text{...

Solutions: $\left( i \right)\text{ }2{{x}^{2}}~+~kx~+\text{ }3\text{ }=\text{ }0$ Comparing the given equation with $a{{x}^{2}}~+~bx~+~c~=\text{ }0$ , we get, $a~=\text{ }2,~b~=\text{ }k\text{...

$\left( i \right)\text{ }2{{x}^{2}}~~6x~+\text{ }3\text{ }=\text{ }0$ Comparing the equation with $a{{x}^{2}}~+~bx~+~c~=\text{ }0$ , we get a = 2, b = -6, c = 3 a = 2, b = -6, c = 3 As we know,...

(i) Given, $2{{x}^{2}}~\text{ }3x~+\text{ }5\text{ }=\text{ }0$ Comparing the equation with $a{{x}^{2}}~+~bx~+~c~=\text{ }0$ , we get a = 2, b = -3 and c = 5 We know, Discriminant...