The solution of x in the given expression
is 4. However, if it is
, it is 6.
<h3>What is the solution to algebraic expression?</h3>
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:
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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ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
Check the picture below.
so what are the lengths of the 1st and 3rd side anyway? well x - 4 and 2x.
To remember the ratios, use the mnemonic sohcahtoa.
S = O/H
C = A/H
T = O/A
In this case, we want S, sin. The side opposite angle X would be 24. The hypotenuse is 26, so the ratio is 24/26. <span />