Can you please comment the questions, we don't know what to do.
The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Answer:
x = √2 = 1.414
Step-by-step explanation:
5x-(x+2)^2=x^2-8+x
since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4
so
5x - (x^2 + 4x + 4) = x^2 + x - 8
-x^2 + x - 4 = x^2 + x - 8
x^2 + x^2 + x - x = -4 + 8
2x^2 = 4
x^2 = 2
x = √2 = 1.414
Answer:
1/9
Step-by-step explanation:
That's bc there are 9 possible outcomes 0,1,2,3,4,5,6,7,8,
so say an out come is 4, out of 9 chances it was 4 so there is a 1/9 of getting 4
24%------360(24% is 360m)
100%-------x (100% is x)
to find x we have too cross multiply
x=100*360/ 24= 1500
hope this helps
