Answer:
Step-by-step explanation:
The solution of the given quadratic equation is x=-2 or x=-3.
The given quadratic equation is x²+5x+6=0.
<h3>What are different methods to solve a quadratic equation?</h3>
The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.
By using the splitting middle term method we can solve x²+5x+6=0.
That is, x²+2x+3x+6=0
⇒x(x+2)+3(x+2)=0
⇒(x+2)(x+3)=0
⇒(x+2)=0, (x+3)=0
⇒x=-2 or x=-3.
Therefore, the solution of the given quadratic equation is x=-2 or x=-3.
To learn more about the quadratic equation visit:
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Answer:
160002 feet
Step-by-step explanation:
y(t)=-16t^2+3200t+2
We need y’ to find a maximum
y’(t)=-32t+3200
y’(t)=0 if t=100
Notes that y’(t)>0 if t<100, and fot t>100 y’(t)<0. Now we can conclude that y(t) has maximum in t=100
Y(100)=-16*10000+3200*100+2
Y(100)=160002 feet
(-2)^4 = (-2) (-2) (-2) (-2) = 16
so n = 16