Question

to find the roots of the Quadratic equations.
1. 3x² + 14x + 15 =0 (By factorization method.)
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Answer 1

Answer :

-3 , -5/3

Solution :

• Given : 3x² + 14x + 15 = 0
• To find : roots

Here ,

The given quadratic equation is ;

3x² + 14x + 15 = 0 .

We need to find the roots of the given quadratic equation using middle term splitting method .

Thus ,

=> 3x² + 14x + 15 = 0

=> 3x² + 9x + 5x + 15 = 0

=> 3x(x + 3) + 5(x + 3) = 0

=> (x + 3)(3x + 5) = 0

=> Either x + 3 = 0 or 3x + 5 = 0

• If x + 3 = 0 , then x = -3

• If 3x + 5 = 0 , then x = -5/3

Hence ,

The roots of the given quadratic equation are -3 and -5/3 .