Question

HELLP MEEEEEE

PLEASE

Answer 1

x =
`(5)/(4) + ( √(5) )/(4)`

x =
`(5)/(4) - ( √(5) )/(4)`

Explanation:

Quadratic equation:

`x = (-b +- √(b^2 - 4ac) )/(2a)`

The equation is:

`4x^2 - 10x + 5 = 0\\`

So:

a = 4

b = -10

c = 5

Plug the variables into the quadratic equation:

`x = (-(-10) +- √((-10)^2 - (4 * 4 * 5)) )/((2 * 4))`

`x = \frac{\sqrt{10 +- √(100 - 80) } }{8}`

`x = (10 + √(20) )/(8)`

Divide both sides by 8:

10 ÷ 8 =
`(5)/(4)`

`√(20)` ÷ 8 =
`(√(5))/(4)`

`(5)/(4)` +-
`(√(5))/(4)`

This means that the solutions that satisfy the equation is:

x =
`(5)/(4) + ( √(5) )/(4)`

x =
`(5)/(4) - ( √(5) )/(4)`

Hope this helps!