Mathematics: How many and what type of solutions does the quadratic equation x^2+81=0 have? two real solutions two imaginary solutions one real solution one imaginary solution

How many and what type of solutions does the quadratic

nathaliapachon7948

13.01.2022

For this case we have the following quadratic equation:

x ^ 2 + 81 = 0

We look for the solutions:

We subtract 81 from both sides of the equation:

x ^ 2 = -81

We apply square root on both sides to eliminate the exponent:

$x = \pm \sqrt {-81}\\x = \pm ((\sqrt {-1} * \sqrt {81})$

We have to:

$\sqrt {81} = 9\\\sqrt {-1} = i$

So:

$x_ {1} = + 9i\\x_ {2} = - 9i$

Two imaginary solutions

0,0(0 оценок)