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alexandr1967 [171]
2 years ago
12

Find all real values of $v$ that satisfy the equation $(v+6)^2 = 324$. If you find more than one, then list your values in incre

asing order, separated by commas.
Mathematics
2 answers:
Karolina [17]2 years ago
8 0
We have that

(v+6)^2 = 324-----> I raise to 1/2 both members----> [(v+6)^2]^(1/2)=(324)^(1/2)[(v+6)]=(324)^(1/2)-------------> v+6=√324
v=√324-6---------> 18-6=12
v=12

the answer is v=12
Olenka [21]2 years ago
6 0

Answer:

The values of v in increasing order are, -24, 12

Step-by-step explanation:

Given equation is,

(v+6)^2=324

v+6=\pm 18

v=-6\pm 18

\implies v=-6-18\text{ or }v=-6+18

\implies v = -24\text{ or }v=12

Since, -24 < 12

Thus, the values of v in increasing order are,

-24, 12

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