Question

Find the roots of quadratic equation x² + 8x + 15.
a) 3,5
b) -3, 5
c) -3, -5
d) 3,-5

Answer 1

see the attachment for your answer

Step-by-step explanation:

hope it will help you

Answer 2

Given :-

• Quadratic equation : x² + 8x + 15

To Find :-

• Roots of the quadratic equation.

Solution :-

~By Factorization [ middle term splitting ].

➟  x² + 8x + 5

➟  x² + 5x + 3x + 15 = 0

~By taking x and 3 common.

➟  x( x + 5 ) + 3( x + 5 ) = 0

➟  (x + 3)(x + 5) = 0

~Either of them will be zero.

• [ If x + 3 = 0 ]

➟ x + 3 = 0

➟ x = 0 - 3

➟  x = - 3

• [ If x + 5 = 0 ]

➟ x + 5 = 0

➟ x = 0 - 5

➟ x = - 5

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• Henceforth, the roots of this quadratic equations are -3,-5 [ Option 'c' ]