Laura the seahorse enjoys exercising at the local swimming pool she swims 2 laps every 1.5 minutes if Laura swims 12 laps how lo
1 answer:
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Answer:
3rd Option is correct.
Step-by-step explanation:
Given Equation:
x² - 16x + 12 = 0
First We need to find solution of the given equation.
x² - 16x + 12 = 0
here, a = 1 , b = -16 & c = 12
Now,
Option 1).
( x - 8 )² = 144
x - 8 = ±√144
x - 8 = ±12
x = 8 + 12 = 20 and x = 8 - 12 = -4
Thus, This is not correct Option.
Option 2).
( x - 4 )² = 4
x - 4 = ±√4
x - 4 = ±2
x = 4 + 2 = 6 and x = 4 - 2 = 2
Thus, This is not correct Option.
Option 3).
( x - 8 )² = 52
x - 8 = ±√52
x - 8 = ±2√13
x = 8 + 2√13 and x = 8 - 2√13
Thus, This is correct Option.
Option 4).
( x - 4 )² = 16
x - 4 = ±√116
x - 4 = ±4
x = 4 + 4 = 8 and x = 4 - 4 = 0
Thus, This is not correct Option.
Therefore, 3rd Option is correct.
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1
36=2y
y=18
Therefore
(x,y)=(8,18)