Question

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

Answer 1

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,

$x=\frac{(12))\pm \sqrt{(144)-(160)}}{(4)}$

Simplifying we will get,

$x=\frac{(12))\pm \sqrt{-16}}{(4)}$

square root of -1 is "i".

$x=\frac{(12))\pm \-4i}{(4)}$

taking 4 common out as gcf in numerator,

$x=3\pm i$

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

Answer 2

The answer is 3+-i



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