Question

Using the quadratic formula to solve 11x²-4x=1 What are The values of X?

Answer 1

a - 2/11 + sqrt15/11

Explanation:

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Answer 2

`11x^2 - 4x = 1`

`11x^(2) - 4x - 1 = 1 - 1`

`11x^(2) - 4x - 1 = 0`

`x = \frac{-(-4) \± \sqrt{(-4)^(2) - 4(11)(-1)}}{2(11)}`

`x = (4 \± √(16 + 44))/(22)`

`x = (4 \± √(60))/(22)`

`x = (4 \± 2√(15))/(22)`

`x = (2 \± √(15))/(11)`

`x = (2 + √(15))/(11)\ \bold{or}\ x = (2 - √(15))/(11)`