Question

find the roots of the following quadratic equation 15x^2 - 10 root 6 X + 10 equal to zero​

Answer 1

Answer:

Step-by-step explanation:

Given:

15(x²) - 10√6(x) + 10 = 0

Here:

a = 15

b = 10√6

c = 10

x $x = \frac{-b +-\sqrt{b^{2}- 4ac} }{2a}$

Substituting the values:

As b² - 4ac = 600 - 600 = 0

Hence √(b² - 4ac) = 0

Hence our equation deduces to

$x = \frac{-b}{2a} \\=> x = \frac{-10\sqrt{6} }{30} \\=> x = \frac{-\sqrt{6} }{3}$

Or

$x = -\frac{\sqrt{2} }{\sqrt{3} } \\=> x = -\sqrt{\frac{2}{3} }$

Hope my answer helps you.

Harith