Question

Use the quadratic formula to find the solution to the question 3x^2-10x+5=0

Answer 1

Answer:

$x_{1} =$ $\frac{5 + \sqrt{10} }{3}$  and $x_{2} =$ $\frac{5 - \sqrt{10} }{3}$

Step-by-step explanation:

3x^2-10x+5=0

$x_{1}$ = $\frac{10 + \sqrt{10^{2}-4*3*5 } }{2*3}$                  $x_{2} =$ $\frac{10 - \sqrt{10^{2}-4*3*5 } }{2*3}$

$x_{1} =$ $\frac{10 + \sqrt{100-60} }{6}$                      $x_{2} =$ $\frac{10 - \sqrt{100-60} }{6}$

$x_{1} =$ $\frac{10 + \sqrt{40} }{6}$                            $x_{2} =$ $\frac{10 - \sqrt{40} }{6}$

$x_{1} =$ $\frac{10 + 2\sqrt{10} }{6}$  / 2                    $x_{2} =$ $\frac{10 - 2\sqrt{10} }{6}$  / 2

$x_{1} =$ $\frac{5 + \sqrt{10} }{3}$                             $x_{2} =$ $\frac{5 - \sqrt{10} }{3}$