Question 176179
{{{x^2-7x+7=0}}}
Use the quadratic formula,
{{{x = (-(-7) +- sqrt( (-7)^2-4*1*7 ))/(2*1) }}}
{{{x = (7 +- sqrt( 49-28 ))/(2) }}}
Exact solutions:
{{{x = (7 +- sqrt( 21 ))/(2) }}}
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Approximate solutions:
{{{x[1] = (7 + sqrt( 21 ))/(2) }}}
{{{x[1] = (7 + 4.583)/(2) }}}
{{{x[1] = (11.583)/(2) }}}
{{{x[1] = 5.791 }}}
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{{{x[2] = (7 - sqrt( 21 ))/(2) }}}
{{{x[2] = (7 - 4.583)/(2) }}}
{{{x[2] = (2.417)/(2) }}}
{{{x[2] = 1.209}}}
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{{{ graph( 300, 300, -2, 7, -10, 10, x^2-7x+7) }}}