Question

-3x^2-168 solve the quadratic equation

Answer 1

Answer:

$x=+2i\sqrt{14}\ \ \,x=-2i\sqrt{14}$

Step-by-step explanation:

$-3x^2-168$

The first step in solving this equation is the factor, remove a factor that both the quadratic and constant term have in common. In this case, such a term would be (-3),

$-3(x^2+56)$

Now set the equation equal to zero so that one can use the zero product property. The zero product property states that any number times zero equals zero.

$-3(x^2+56)=0$

Solve, use inverse operations,

$x^2+56=0$

$x^2=-56$

One cannot take the square root of a negative number and get a real result, thus the result is an imaginary number.

$x=\sqrt{-56}$

Simplify, remove whole factors from under the radical,

$x=+-2i\sqrt{14}$