PLz solve.................
2 answers:
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Answer:
.
Step-by-step explanation:
Let and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for and
:
whereas
.
Hence, the coordinate of the other point would be .
Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1
Numbers meeting that requirement are -2 and 1.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1
Numbers meeting that requirement are -2 and 1.