SOLUTION: can i please have help i need to find the x intercepts y=x^2+5x+6

Question 80996: can i please have help i need to find the x intercepts
y=x^2+5x+6
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
QUESTION:

find the x intercepts
y=x^2+5x+6

To find the x intercept of the given equation, put y = 0 in the given equation.

==> 0 = x^2 + 5x + 6

Which is a quadratic equation which you can solve using either quadratic formula ya splitting the middle term

Here we shall use the second method, that is splitting the middle term

x^2 + 5x + 6 = 0

==> x^2 + 3x + 2x + 6 = 0

==> (x^2 + 3x ) + ( 2x + 6 ) = 0

==> x(x+3) + 2(x+3) = 0

==> (x+ 3) (x + 2) = 0

==> x+ 3 = 0 or x = x+2

==> x = -3 or x = -2

So we got two values corresponding to y = 0

So x intercepts of the the given equation are, x = -3 and x = -2

Hope you understood.

Regards.

Praseena.

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