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jekas [21]
3 years ago
13

Solve, by completing the square, x^2=22x-5, leave your answer in surd form

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

a) The complete square form =  ( x-11)² = 116

b)   x = 11 + 2√29

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given equation   x² = 22x -5

              ⇒ x² - 22x + 5 =0

             ⇒  x² - 2× 11 x + (11)² -(11)² + 5=0

            ⇒ ( x- 11)² -121 +5 =0

           ⇒  ( x-11)² = 116

The complete square form =  ( x-11)² = 116

<u><em>Step(ii):-</em></u>

           ⇒  (x-11) = √116 = √29 ×√4

           ⇒  x-11 = 2√29

          ⇒   x = 11 + 2√29

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Answer:

Step-by-step explanation:

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8 0
2 years ago
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Well it is a simple percentage question that we have to solve.

As we know that William made 620 by baby sitting and we also know that he made 340 per cent more next year so we can simply calculate 340 per cent of 620 and then add that percentage value to 620 to calculate the final answer.

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✦ ✦ ✦ Beep Boop - Blu Bot! At Your Service! Scanning Question . . .

      Code: Green! Letters, Numbers, and Variables Received! ✦ ✦ ✦

--------------------------------------------------------------------------------------------------------------Question: x3+y3+z3=k, with k being all the numbers from one to 100

--------------------------------------------------------------------------------------------------------------Answer: X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.

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