Well, First I would write it in the expanded form which is 16x^2-56x+49=44 then i would reorder my terms to 49+-56x+16^2=4 then solve for x so it would be 49+ -44 + -56 +16^2=44+ -44 then combine the like terms 49+ -44=5
5+-56x+16x^2= 44+-44 would turn into
44+ -44 =0
5+ -56+16^2=0
i would do the squaring and divide all the terms by 16 the coefficient of the squared term:
divide each side by 16 so
0.3125+ -3.5x+ x^2=0
move the constant to the right
add -0.3125 to each side 0.3125 + -3.5x + -0.3125 + x2 = 0 + -0.3125 then reorder
0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
then
x + -1.75 = 1.658312395
Simplifying
x + -1.75 = 1.658312395
Reorder the terms:
-1.75 + x = 1.658312395
Solving
-1.75 + x = 1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 1.658312395 + 1.75
x = 1.658312395 + 1.75
Combine like terms: 1.658312395 + 1.75 = 3.408312395
x = 3.408312395
Simplifying
x = 3.408312395
then
x + -1.75 = -1.658312395
Simplifying
x + -1.75 = -1.658312395
Reorder the terms:
-1.75 + x = -1.658312395
Solving
-1.75 + x = -1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -1.658312395 + 1.75
x = -1.658312395 + 1.75
Combine like terms: -1.658312395 + 1.75 = 0.091687605
x = 0.091687605
Simplifying
x = 0.091687605
and finally your solution is x=3.408312395 and x=0.091687605
or another way to write it is
x=\frac{1}{4}(7-2 \sqrt{11} )
[/tex]
x=\frac{1}{4}(7+2 \sqrt{11} ) [/tex]
