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
