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The solution of x in the given expression is 4. However, if it is
, it is 6.
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:
Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
- x = 11 False
- x = 4 True
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:
Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
Learn more about solving to algebraic expressions here:
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<h2>Hello!</h2>
The answers are:
A.
and
D.
and
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and
We have that:
So, we have that the pairs of numbers
and
Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and
We have that:
So, we have that the pair of numbers
and
Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:
and
We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and
D.
and
Have a nice day!