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VashaNatasha [74]
4 years ago
7

What is y when the equation is x^2 - 3xy -4y^2 =0

Mathematics
1 answer:
Nastasia [14]4 years ago
4 0

Answer:

y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))

Step-by-step explanation:

Solve for y:

-4 y^2 - 3 x y + x^2 = 0

Hint: | Multiply both sides by a term to make the coefficient of y^2 positive.

Multiply both sides by -1:

4 y^2 + 3 x y - x^2 = 0

Hint: | Using the quadratic formula, solve for y.

y = (-3 x ± 5 sqrt(x^2))/8:

Answer: y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))

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