Ln bisects klm into two congruent angles measuring (3x-4) and (4x-27) Find klm

Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

In-s [12.5K]

The solution of x in the given expression $\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$ is 4. However, if it is $\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}$ , 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:

$\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$

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:

$\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}$

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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5 0

1 year ago

I NEED HELP PLEASE, THANKS! :)

Ugo [173]

Answer:

see below

Step-by-step explanation:

The coefficients are 19Cr for r from 0 to 19, as shown in the first and last choices. The sum of the powers of the factors is 19, as shown in the first and last choices. The only difference between the first and last choices is the order of terms in the sum. Both have the same total, and both are equivalent expansions of the given expression.

If you prefer the higher powers of m to appear first, then the last choice is appropriate.