Question

Solve the equation below.
5x^2 − 7x + 8 = 2

Answer 1

`(7- √(71)i )/(10)`

`(7+ √(71)i )/(10)`

Explanation:

`5x^(2) - 7x + 6= 0`

By quadratic formula,

Given in this question a = 5,

b = -7

c = 6

x can be

`\frac{-b + \sqrt{b^(2) - 4ac } }{2a}`

`\frac{-b - \sqrt{b^(2) - 4ac } }{2a}`

Putting these values in the formula we get,

`x1 = (7+ √(49 - 120) )/(10)`

`x2 = (7- √(49 - 120) )/(10)`