Question

Solve the quadratic equation by the square root method and write the solution in radical form. simplify the solution. 4y^2=80

Answer 1

The square root method for solving a quadratic equation involves isolating the squared term, and then taking the square root of both sides of the equation.

Starting with the equation 4y^2 = 80, we can isolate the squared term by dividing both sides of the equation by 4:

y^2 = 20

Next, we take the square root of both sides of the equation:

y = ±√20

The solution in radical form is y = ±√20. To simplify the radical, we can factor 20 into 2 * 10. Then, we can simplify the square root as follows:

y = ±√2 * √10 = ±2√10

So, the simplified solution is y = ±2√10.

Answer 2

`y=\pm2√(5)`

Explanation:

`4y^2=80\\y^2=20\\y=\pm√(20)\\y=\pm2√(5)`