Question

Solve 2x2 − 12x + 20 = 0. (5 points) 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i

Answer 1

The answer is 3+-i



I hope this helps!!!!!!!!

Answer 2

We are given this equation:

`2x^(2) -12x+20=0`

Let us use quadratic formula to find its solution.

The quadratic formula for general quadratic equation of the form ax²+bx+c=0 is given by:

`x=\frac{-b\pm \sqrt{b^(2)-4ac}}{2a}`

Now on comparing our equation with this general form our a, b and c are:

a=2, b=-12 and c=20

Plugging these values in the formula:

`x=\frac{-(-12))\pm \sqrt{(-12)^(2)-4(2)(20)}}{2(2))}`

On solving we will get,

`x=((12))\pm √((144)-(160)))/((4))`

Simplifying we will get,

`x=((12))\pm √(-16))/((4))`

square root of -1 is "i".

`x=((12))\pm \-4i)/((4))`

taking 4 common out as gcf in numerator,

`x=3\pm i`

Answer : x=3+i and x=3-i