Value of N in equation pictured?
2 answers:
A graphing calculator shows the value of n is 59.
_____
Squaring the equation gives
n+5 -2√((n+5)(n-10)) + n-10 = 1
2n - 6 = 2√(n² -5n -50) . . . . . . subtract 1, add the radical term
n² -6n +9 = n² -5n -50 . . . . . . . divide by 2 and square both sides
59 = n . . . . . . . . . . . . . . . . . . . . .add 50 -n² +6n
_____
Squaring the equation gives
n+5 -2√((n+5)(n-10)) + n-10 = 1
2n - 6 = 2√(n² -5n -50) . . . . . . subtract 1, add the radical term
n² -6n +9 = n² -5n -50 . . . . . . . divide by 2 and square both sides
59 = n . . . . . . . . . . . . . . . . . . . . .add 50 -n² +6n
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ANSWER
(-2,-1)
(3,14)
EXPLANATION
The given system is
or
Equate both of them:
This implies that,
x=-2 or x=3
When x=-2, y=y=3(-2)+5=-1
(-2,-1) is a solution.
When x=3 , y=3(3)+5=14
(3,14) is also a solution.