Question

Solve for this equation

Answer 1

The last option is the answer :
`x =- (11+-5√(5) )/(2)`

To solve for
`x^(2) + 11x + (121)/(4) = (125)/(4)`

Multiply both sides of the equation by 4 to eliminate the fractions:

`4 (x^(2) + 11x + (121)/(4)) = 125}`

`4 x^(2) + 44x + 121 = 125}`

`4 x^(2) + 44x - 4 = 0`

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

Now, you have a quadratic equation. You can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

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

where a=1, b=11, and c=−1, you can substitute these values into the quadratic formula:

`x = \frac{-11+-\sqrt{11^(2) - 4(1)(-1)} }{2x1}`

Therefore
`x =- (11+-5√(5) )/(2)`