Question

2x²-14x+1=0
how do i solve?

Answer 1

x = 6.928
`x = 0.072`

Explanation:

Use the quadratic formula

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

`a = 2\\b = -14\\c = 1`

`\frac{-(-14)(+-)\sqrt{(-14)^(2 ) -4(2)(1)} }{2(2)}`

`(-(-14)(+-)√(196 -8) )/(4)`

`(14+√(188) )/(4)`
`(14-√(188) )/(4)`

`x = 6.928`
`x = 0.072`