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Dominik [7]
3 years ago
10

Solve using the quadratic formula.-v^2 + 9v - 5 = 0​

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

Step-by-step explanation:

Solve for v over the real numbers:

-v^2 + 9 v - 5 = 0

Multiply both sides by -1:

v^2 - 9 v + 5 = 0

Subtract 5 from both sides:

v^2 - 9 v = -5

Add 81/4 to both sides:

v^2 - 9 v + 81/4 = 61/4

Write the left hand side as a square:

(v - 9/2)^2 = 61/4

Take the square root of both sides:

v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

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