Question 80996
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.