Question

Find the roots of quadratic equation 15 x square minus 10 root 6 X + 10 is equal to 0

Answer 1

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Answer 2

The roots of the quadratic equation is

$x=\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given quadratic equation is

$15x^2-10\sqrt{6}x+10=0$

The formula for finding the roots of a quadratic equation is

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, we have

a = 15, b = -10√6, c= 10

$x_{1,\:2}=\frac{-\left(-10\sqrt{6}\right)\pm \sqrt{\left(-10\sqrt{6}\right)^2-4\cdot \:15\cdot \:10}}{2\cdot \:15}$

$x_{1,\:2}=\frac{-\left(-10\sqrt{6}\right)\pm \sqrt{\left(-10\sqrt{6}\right)^2-4\cdot \:15\cdot \:10}}{2\cdot \:15}\\\\=\frac{-\left(-10\sqrt{6}\right)\pm \sqrt{0}}{2\cdot \:15}\\\\=\frac{-\left(-10\sqrt{6}\right)}{2\cdot \:15}\\\\x=\frac{\sqrt{6}}{3}$

#Learn More:

Find the roots of this quadratic equation.

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