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Vlad [161]
3 years ago
15

Which equation is equivalent to the given equation? x^2 - 10x = 14​

Mathematics
2 answers:
shusha [124]3 years ago
8 0

I believe that the answer you are looking for is (x-5)²-39, if you use the completing the square method.

Solution:

x²-10x=14

Transferring 14 from the right side to the left side,

x²-10-14=0

Squaring the equation,

(x-5)²-39, or (x-5)²=39 (Depends on how you prefer to write it).

So, that is the final answer. I hope this helped. If you have any questions about the answer, please let me know. Enjoy your day and take care!

ArbitrLikvidat [17]3 years ago
4 0

Answer:

(x - 5)² = 39

Step-by-step explanation:

Given

x² - 10x = 14

To obtain an equivalent equation use the method of completing the square.

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = 14 + 25

(x - 5)² = 39

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