Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

Asked by wiki @ 29/10/2020 in Mathematics viewed by 377 People

Answered by wiki @ 29/10/2020

$11x^2 - 4x = 1$
$11x^{2} - 4x - 1 = 1 - 1$
$11x^{2} - 4x - 1 = 0$
$x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}$
$x = \frac{4 \± \sqrt{16 + 44}}{22}$
$x = \frac{4 \± \sqrt{60}}{22}$
$x = \frac{4 \± 2\sqrt{15}}{22}$
$x = \frac{2 \± \sqrt{15}}{11}$
$x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}$

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