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Eduardwww [97]
3 years ago
14

Solve the equation for x. 2x2 − 72 = 0 Enter you solution in set notation.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

The set of solution is {-6,6}

Step-by-step explanation:

That means 2x^2-72=0?

If yes, here the solution for this:

x^2-36=0 (divise both sides by 2)

x^2=36

x^2=6^2

We have x=6 or x= - 6

The set of solution is {-6,6}.

Hope that useful for you.

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A box of cereal contains 10 cups. If each bowl holds 1 1/4 cups of cereal, how many bowls of cereal will you get out of the box?
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First, we are going to find the vertex of our quadratic. Remember that to find the vertex (h,k) of a quadratic equation of the form y=a x^{2} +bx+c, we use the vertex formula h= \frac{-b}{2a}, and then, we evaluate our equation at h to find k.

We now from our quadratic that a=2 and b=-32, so lets use our formula:
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Now we can evaluate our quadratic at 8 to find k:
k=2(8)^2-32(8)+56
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So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
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y=2(x-8)^2+(-72)
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We can conclude that:
The rewritten equation is y=2(x-8)^2-72
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