Question

Solve:
$x^2-2x+360=0$

• A. $x=1\pm \sqrt{-359}$
• B. $x=2\pm \sqrt{-359}$
  
• C. $x=1\pm \sqrt{359}$
• D. None of these

Answer 1

The correct option is A $x=1\pm \sqrt{-359}$

Given quadratic equation is $x^2-2x+360=0$,

On comparison with $a{x}^2+bx+c=0$

we get, $a=1,b=-2,c=360$

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

$=\frac{-(-2)\pm \sqrt{(-2{)}^2-4(1\left)\right(360)}}{2\left(1\right)}$

$=\frac{2\pm \sqrt{4-1440}}{2}$

$=\frac{2\pm \sqrt{-1436}}{2}$

$=\frac{2\pm \sqrt{4(-359)}}{2}$

$=\frac{2\pm 2\sqrt{-359}}{2}$

$=1\pm \sqrt{-359}$

$\therefore$ $x=1\pm \sqrt{-359}$