Respuesta :
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
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
The solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Solution to quadratic equations
Quadratic equations are equation that has a degree of 2. Given the quadratic equation as shown:
(4y – 3)² = 72
Take the square root of both sides
√(4y – 3)² = ±√72
4y -3 = ±√72
4y - 3 = ±6√2
4y = ±6√2 + 3
y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Hence the solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Learn more on quadratic equation here: https://brainly.com/question/17987697
#SPJ5