Determine the solution set of (x - 3)2 = 49. {6, -8} {4, 10} {10, -4}

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

{10, -4}

Step-by-step explanation:

(x-3)^2 = 49

Take the square root of each side

sqrt((x-3)^2) = sqrt(49)

x-3 = ±7

Add 3 to each side

x-3+3 = 3±7

x = 3±7

x = 3+7 and x = 3-7

x = 10 x = -4

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What are the real and complex solutions of the polynomial equation? X4-41x2=-400

stich3 [128]

For the answer to the question above, I'll provide a solution for my answer below.
x^4 - 41x^2 = - 400
=> x^4 - 41x^2 + 400 = 0 
=> x^2 = (1/2) [41 ±√(1681 - 100)] 
=> x^2 = (1/2) (41 ± 9) 
=> x^2 = 16 or 25

So, therefore, the answers for your problem are
=> x = ± 4 or ± 5.

I hope my answer helped you.

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