Draw triangle XYZ with vertices X (-3, 2), Y (4, -2) and Z (-3, -2) on the coordinate plane. Then find the area of the triangle
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A quadratic equation given roots is solved by using the relation
from the question,
sum of the root will be
and also, product of the roots will
be
now substituting the sum of roots and product of roots into the equation
as the quadratic equation for the root 3/4 and -4
Given:
The given equation is
To find:
All the real solutions.
Solution:
We have,
It can be written as
Using zero product property, we get
and
and
and
We know that is an imaginary number because there is a negative sign under the square root.
Therefore, is the only real solution of the given equation.