Question

Solve this quadratic equation:

Answer 1

Given Equation is x^2 - 760x + 31200 = 0

It is in the form of ax^2 + bx + c = 0

Where a = 1, b = -760, c = 31200.


The solutions are:

(1)

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

$\frac{-(-760) + \sqrt{(-760)^2 - 4 * 1 * 31200} }{2 * 1}$

$\frac{760 + \sqrt{452800} }{2}$

$\frac{760 + 40 \sqrt{283} }{2}$

$\frac{40(19 + \sqrt{283} )}{2}$

$20(19 + \sqrt{283} )$


(2)

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

$\frac{-(-760) + \sqrt{(-760)^2 - 4 * 1 * 31200} }{2 * 1}$

$\frac{760 - \sqrt{452800} }{2}$

$\frac{760 - 40 \sqrt{283} }{2}$

$\frac{40(19 - \sqrt{283}) }{2}$

$20(19 - \sqrt{283} )$



Hope this helps!

Answer 2

Hi,

Please see the attached file!



Thanks