Question

Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 137 EndRoot Over 2 EndFraction StartFraction negative 11 minus StartRoot 125 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 125 EndRoot Over 2 EndFraction StartFraction 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFraction 11 + StartRoot 137 EndRoot Over 2 EndFraction StartFraction 11 minus StartRoot 125 EndRoot Over 2 EndFraction comma StartFraction 11 + StartRoot 125 EndRoot Over 2 EndFraction

Answer 1

Option 1

Explanation:

The answer above is correct.

Answer 2

`x_1=-(11)/(2)-(√(137) )/(2)\\\\x_2=-(11)/(2)+(√(137) )/(2)`

Explanation:

Given the following quadratic equation:

`x^2 = -11x + 4`

The steps to solve it are:

1. Move the terms to one side of the equation:

`x^2+11x- 4=0`

2. Apply the Quadratic formula
`x=(-b\±√(b^2-4ac) )/(2a)`.

In this case we can identify that:

`a=1\\b=11\\c=-4`

Then, substituting these values into the Quadratic formula we get the following solutions:

`x=(-11\±√(11^2-4(1)(-4)) )/(2(1))`

`x_1=-(11)/(2)-(√(137) )/(2)\\\\x_2=-(11)/(2)+(√(137) )/(2)`