sqrt (5x - 9) - 1 = x
sqrt(5x - 9) = x + 1
Square both sides:_
5x - 9 = x^2 + 2x + 1
x^2 - 3x + 10 = 0
(x - 5)(x + 2) = 0
x = 5 or -2.
Lets look for for any extraneous solutions:-
x = 5 ; sqrt (5*5-9) - 1 = sqrt16 - 1 = 3 and x = 3 (right hand side of equation)
so x = 5 is a solution
x = -2: sqrt(5*-2 - 9) - 1 = sqrt (-19) - 1 and x = -2 so this is extraneous
Answer:- One solution x = 5
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
The length and width of rectangular traffic sign are 40 and 30 inches respectively
<h3><u>Solution:</u></h3>
Given that,
Perimeter of rectangular traffic sign = 140 inches
Let length and width be denoted as ‘L’ and ‘B’ respectively
Given that length is 10 inches longer than its width
L = 10 + B
<em><u>The perimeter of rectangle is given as:</u></em>
Perimeter = 2( L + B)
On substituting the values, we get
140 = 2(10 + B + B)
140 = 2(10 + 2B)
140 = 20 + 4B
B = 30
Therefore, the length is L = 10 + 30 = 40
Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.
Answer:
the answer is c
Step-by-step explanation:
