Question 1: Solve the following quadratic equations by factorization method:
Answer:
So the roots of given quadratic equation are
So the roots of given quadratic equation are
or
So the roots of given quadratic equation are
or
So the roots of given quadratic equation are
Question 2: Solve the following quadratic equations:
Answer:
So the roots of given quadratic equation are
So the roots of given quadratic equation are
or
or
Comparing the given equation with general form of quadratic equation we get,
Substituting these values in
Now lets calculate the roots of
Let
Squaring both sides
… … … … … i)
… … … … … ii)
We know
… … … … … iii)
Adding i) and iii) we get
Substituting in i) we get
Since is positive,
will have the same sign.
if
and if
Comparing the given equation with general form of quadratic equation we get,
Substituting these values in
Now lets calculate the roots of
Let
Squaring both sides
… … … … … i)
… … … … … ii)
We know
… … … … … iii)
Adding i) and iii) we get
Substituting in i) we get
Since is negative,
will have opposite sign.
if
and if
Comparing the given equation with general form of quadratic equation we get,
Substituting these values in
Now lets calculate the roots of
Let
Squaring both sides
… … … … … i)
… … … … … ii)
We know
… … … … … iii)
Adding i) and iii) we get
Substituting in i) we get
Since is negative,
will have opposite sign.
if
and if
Comparing the given equation with general form of quadratic equation we get,
Substituting these values in