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MaRussiya [10]
3 years ago
8

Determine the type and number of solutions of x^2 + 10x − 25 = 0.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

There is exactly 1 solution and it is a double root.

Step-by-step explanation:

To find this, factor the equation and solve.

x^2 + 10x - 25 = 0

(x - 5)(x - 5) = 0

Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.

x - 5 = 0

x = 5

x - 5 = 0

x = 5

Because there are two of the exact same answer, we know it to be a double root.

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Answer:

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Step-by-step explanation:

g(f(-1)) can be found by first finding f(-1) then taking that result and putting it into the function g.

f(-1) means we are going to take the expression x-7 and evaluate it for x=-1:  

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So f(-1)=-8.

So we have this so far:

g(f(-1))=g(-8)=(-8)^2=64.

g(-8) was found by replacing x in x^2 with -8.

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