jrobnett10 jrobnett10
  • 23-06-2022
  • Mathematics
contestada

What is the solution of the quadratic equation (4y-3)^2=72

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Lakshya76J
Lakshya76J Lakshya76J
  • 23-06-2022

Answer:

To solve this quadratic equation, take the square root of both sides.

Since the left side is a perfect square, it will just be reduced to:

4y - 3

For the constant on the right side, the positive and negative roots must be considered.

√72 = ±6√2

Equating the two:

4y - 3 = ±6√2

4y = 3 ± 6√2

y = (3 ± 6√2)/4

y = (3 + 6√2) / 4 = 2.87

and

y = (3 - 6√2) / 4 = -1.37

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