The difference between the two roots of the equation is .
Find the solutions for the equation.
Finding solutions to the equation :
Step-1: Finding two roots with the help of a formula.
Knowing the square roots of equations ,is given by,
…(I)
Comparing with and getting
The square roots of the equation are ,. …(II)
Step-2: Finding the value of .
Given, The difference between two roots is , that is, . From (II),
Now squaring both sides,
The value of is .
Step-3: Finding solutions for the given equation.
Putting value of in (II),
Hence, the solutions for the equation are .