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determine the nature of the roots of each equation
x2+7x+10=0​


Sagot :

-5 , -2.

Step-by-step explanation:

For the equation x2 + 7x + 10 = 0

The above equation can also be written in the form of x2 + 5x + 2x + 10 = 0 [ splitting the middle term ]

Now factorizing x from the first term of the expression i.e. ( x2 + 5x ) and factorizing 2 from the second term of the expression i.e. 2x + 10.

After factorizing the resulting equation we get x ( x + 5 ) + 2 ( x + 5 ) = 0

Now using distributive property we get ( x + 2 ) ( x + 5 ) = 0

On equating both the terms separately with 0 we get.

Hope it's help

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