Answer:
x = 37 y = 12
Step-by-step explanation:
Let x be one number
Let y = other number
x+y = 49
x-y = 25
Add the equations together
x+y = 49
x-y = 25
---------------
2x = 74
Divide by 2
2x/2 = 74/2
x =37
x+y = 49
37+y = 49
Subtract 37 from each side
37+y-37 = 49-37
y = 12
Answer:
45 square feet
Step-by-step explanation:
Answer:
768
Step-by-step explanation:
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
