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Taya2010 [7]
3 years ago
7

X2+5x+6=0 solve it? the X2 is X squared

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0
Hope this helps!
x= -3
x= -2
Irina-Kira [14]3 years ago
3 0

Question:

x^2+5x+6=0 solve it?

Answer:

x=-3 and x=-2

Step-by-step explanation:

The quadratic formula is:

x= \frac{-b+-sqrt{b^{2}-4ac}}{2a}

For a quadratic of the form  ax^{2}+bx+c.

We have   a=1, b=5, and c=6.

x= \frac{-5+-sqrt{5^{2}-4(1)(6)}}{2(1)}

x= \frac{-5+-sqrt{25-24}}{2}

x= \frac{-5+-sqrt{1}}{2}

x= \frac{-5+-{1}}{2}

Hence,

x= -\frac{6}{2}=-3 and x= -\frac{4}{2}=-2

You can also factor the quadratic:

x^2+5x+6=(x+3)(x+2)=0

OR

x^2+5x+6=0\\(x+3)(x+2)=0

x+3=0⇒x=-3

and

x+2=0⇒x=-2

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