The equations have at least one integer solution are equation B: √(3x) = 75 and equation D:√x = x - 12.
What is the solution to the given equations?
The value of x is known as the solution.
A. √(4x) = 5
On squaring, we have
4x = 25
x = 6.25
The value is not an integer.
B. √(3x) = 75
On squaring, we have
3x = 5625
x = 1875
The value is an integer.
C. 8√x = √16
On squaring, we have
64x = 16
x = 0.25
The value is not an integer.
D. √x = x - 12
On squaring, we have
(x - 12)² = x
x² - 24x + 144 = x
x² - 25x + 144 = 0
(x - 16)(x - 9) = 0
x = 9, 16
The value is an integer.
E. √(10 - x) = x - 2
On squaring, we have
(x - 2)² = 10 - x
x² - 4x + 4 = 10 - x
x² - 3x - 6 = 0
(x - 4.37)(x + 1.37) = 0
x = -1.37, 4.37
The value is not an integer.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
