Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma and list the smaller one first.

For the quadratic equation x^2 + 7 x = 5, the solution(s) is(are)

First subtract 5 from both sides

To get x^2 +7x -5

Well, the quadratic formula is: x = -b +- sqrt(b^2 -4ac)

Divided by 2a

So, -7 +- sqrt ( [7^2 -4(1)(-5) ]

-7 +- sqrt (69)

-7 +- 8.307

-7 + 8.307

1.307

Divided by 2 is

0.6535

Or -7 – 8.307

-15.307

Divided by 2

-7.6535

So, .654 and -7.654