Some new education question and answer inquired students to state what they consider is the most important important point for a student to do if they wanted to accomplish success. Of the many replies, one which that stood out was practice. Successful persons commonly not born successful; they become successful with hard work and determination. If you want to obtain your goals, keep this in mind! following some question and answer examples that you can easily utilise to enriches your knowledge and gain insight that will guide you to preserve your school studies.
Question:
Which of the following is an extraneous solution of mc015-1.jpg? x = –12 x = –3 x = 3 x = 12
Answer:
the answer
the full the question is as follow:
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
[(45 – 3x)^1/2 ]² = (x -9)² (E)
extend each value of the member
[(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
so 45 – 3x = x²-18x + 81, this is equivalent to x² – 15x +36 =0
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 x = – (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so an extraneous solution is x = 12
They could certainly hopefully assist the student resolve the question by obtaining the questions and answer examples. You could potentially then have a discussion with your classmate and continue the school learning by studying the problem altogether.