Answer:
Step-by-step explanation:
We have the quadratic equation i.e.
As, the roots of the quadratic equation are given by
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in , we get,
i.e.
i.e.
i.e.
i.e. and
i.e. and
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
Putting , we get
Therefore, the measure of angle RQP is 33 degrees.