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3 years ago

K² = 76What is the answer?

Mathematics

2 answers:

Simora [160]3 years ago

6 0

Answer:

± 8.7178 or ± the square root of 19

Step-by-step explanation:

Solve : k2-76 = 0

Add 76 to both sides of the equation :

k2 = 76

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

k = ± √ 76

Can √ 76 be simplified ?

Yes! The prime factorization of 76 is

2•2•19

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 76 = √ 2•2•19 =

± 2 • √ 19

The equation has two real solutions

These solutions are k = 2 • ± √19 = ± 8.7178

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.

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3 years ago

K² = 76What is the answer?​

K² = 76What is the answer?