Solve for v.
(v-1)^2 = 2v^2 -5v -17
If can be more than one solution or no solution
1 answer:
(v - 1)² = 2v² - 5v - 17
(v - 2)(v - 2) = 2v² - 5v - 17
v² - 2v - 2v + 4 = 2v² - 5v - 17
v² - 4v + 4 = 2v² - 5v - 17
<u>- v² - v² </u>
-4v + 4 = v² - 5v - 17
<u>+ 5v + 5v </u>
v + 4 = v² - 17
<u> + 17 + 17</u>
v + 21 = v²
0 = v² + v + 21
v² + v + 21 = 0
v = <u>-(1) +/- √((1)² - 4(1)(21))</u>
2(1)
v = <u>-1 +/- √(1 - 84)</u>
2
v = <u>-1 +/- √(-83)
</u> 2<u>
</u> v = <u>-1 +/- 9.11i
</u> 2<u>
</u> v = -1 <u>+</u> 4.555i<u>
</u> v = -1 + 4.555i v = -1 - 4.555i
There is more than one solution.
<u />
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