Question

Use the quadratic formula to solve the equation. Show all work. (No decimal answers)

5x^2 - 14x + 8 = 0

Answer 1

`x_(1) =2`

`x_(2) =4/5`

Explanation:

`a=5, b=-14, c=8`

`x=\frac{-(-14)+-\sqrt{(-14)^(2)-4(5)(8) } }{2(5)}`

`x=(14+-√(196-160) )/(10)`

`x=(14+-√(36) )/(10) =(14+-6)/(10)`

`x_(1) =(14+6)/(10) =(20)/(10) =2`

`x_(2) =(14-6)/(10) =(8)/(10) =(4)/(5)`
hope this helps