Question

What are the solutions to the quadratic equation (5y + 6)2 = 24? y = and y = y = and y = y = and y = y = and y =

Answer 1

The correct result would be y = -6/5 - (2 * sqrt(6))/5 and y = (2 * sqrt(6))/5 - 6/5.

Answer 2

For this case we have the following quadratic expression:

$(5y + 6) ^ 2 = 24$

From here, we must clear the value of y.

For this, we follow the following steps:

1) We clear the square term:

$(5y + 6) =+/-\sqrt{24}$

$(5y + 6) =+/-2\sqrt{6}$

2) Pass the value of 6 by subtracting:

$5y =-6+/-2\sqrt{6}$

3) Pass the value of 5 to divide:

$y =\frac{-6+/-2\sqrt{6} }{5}$

Answer:

The solutions to the quadratic equation are:

$y =\frac{-6+2\sqrt{6} }{5}$

$y =\frac{-6-2\sqrt{6} }{5}$