Question 994111
7 = 2x + sqrt(5)


subtract 2x from both sides of the equation to get:


7 - 2x = sqrt(5)


square both sides of the equation to get:


(7-2x)^2 = 5


simplify the left side of the equation by squaring it to get:


49 - 28x + 4x^2 = 5


subtract 5 from both sides of the equation to get:


49 - 5 - 28x + 4x^2 = 0


combine like terms to get:


44 - 28x + 4x^2 = 0


rearrange the terms in descending order to get:


4x^2 - 28x + 44 = 0


factor out the gcf to get:


4 * (x^2 - 7x + 11) = 0


divide both sides of the equation by 4 to get:


x^2 - 7x + 11 = 0


factor the quadratic using the quadratic formula to get:


x = 4.618 and x = 2.382


answers are rounded to the third decimal place.


here's some info on the quadratic formula.


<a href = "http://www.regentsprep.org/regents/math/algtrig/ate3/quadformula.htm" target = "_blank">http://www.regentsprep.org/regents/math/algtrig/ate3/quadformula.htm</a>