Question

I need assistance with math pls show your work to

Answer 1

x = 7.5, x = -5

Explanation:

1. Plug a(2), b(-5), and c(-75) into the qudratic formula:

`x_(1,2) =\frac{-(-5)+-\sqrt{(-5)^(2)-4(2)(-75) } }{2(2)}`

2. Find the square:

`x_(1,2) =(-(-5)+-√(25-4(2)(-75) ) )/(2(2))`

`x_(1,2) =(-(-5)+-√(25+600) )/(2(2))`

`x_(1,2) =(-(-5)+-25 )/(4)`

3. Separate the solutions:

`x_(1) = (-(-5)+25)/(4) , x_(2) =(-(-5)-25)/(4)`

4. Solve for both:

`x_(1) =(5+25)/(4) \\\\x_(1) =(30)/(4) \\\\x_(1) =(15)/(2)\\\\x_(1) =7.5`

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`x_(2) =(5-25)/(4) \\\\x_(2) =(-20)/(4) \\\\x_(2) =-5`

In conclusion, the solutions are x = 7.5 and -5.

hope this helps!