Question 683896
Multiply the entier equation by x
{{{25x^2 - 50x = 23}}}
{{{x^2 - 2x = 23/25}}} ==> divided the entire equation by 25
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Complete the square
{{{x^2 - 2x + 1 = 23/25 + 1}}}
{{{(x-1)^2 = 48/25}}}
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{{{sqrt(x-1)^2}}} = +/- {{{sqrt(48/25)}}}
x-1 = +/- {{{sqrt(16*3)/sqrt(25)}}}
x-1 = +/- {{{4sqrt(3)/5}}}
x = {{{1 +- (4sqrt(3))/5}}}
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Quadratic Formula
x = {{{(-(-50)+-sqrt(-50^2-4(25)(-23)))/(2*25)}}}
x = {{{(50+-sqrt(2500+2300))/(50)}}}
x = {{{(50+-sqrt(4800))/50}}}
x = {{{(50+-sqrt(100*16*3))/50}}}
x = {{{(50+-4*10sqrt(3))/50}}}
x = {{{(50+-40sqrt(3))/50}}}
x = {{{1 +- (4sqrt(3)/5)}}}
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{{{1 +- (4sqrt(3)/5)}}}
which could be structured as 
x = {{{5/5 +- (4sqrt(3))/5}}}
x = {{{(5 +- 4sqrt(3))/5}}}
Is that what choice B gave??
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Perhaps you may want a second opinion.
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