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