Answer:
x = 2
Step-by-step explanation:
These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.
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<h3>Squaring</h3>
The usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.

The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.
x = -1: √(-1+2) +1 = √(3(-1)+3) ⇒ 1+1 = 0 . . . . not true
x = 2: √(2+2) +1 = √(3(2) +3) ⇒ 2 +1 = 3 . . . . true . . . x = 2 is the solution
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<h3>Substitution</h3>
Another way to solve this is using substitution for one of the radicals. We choose ...

Solutions to this equation are ...
u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution
The value of x is ...
x = u² -2 = 2² -2
x = 2 . . . . the solution to the equation
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<em>Additional comment</em>
Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.
Answer:

Step-by-step explanation:
We are given the following expression in the question:

a)

which is not equivalent to the given expression.
b)

which is equivalent to the given expression
c)

which is equivalent to the given expression.
d)

which is not equivalent to the given expression.
e)

which is equivalent to the given expression.
8*10 squared as a decimal would be 2.8
Sid wrapped 8 gifts.
Look at the equation Sid wrote to caclulate the cost to wrap each gift. (6.80 + 7.35) / 8. 6.80 represents the total paid for wrapping paper. 7.35 represents the total amount paid for ribbon. Knowing that information, using the equation, and knowing who Sid wrapped gifts for, we can infer Sid wrapped gifts for 8 cousins.
Since its roots are -4 and 2 and a = 1 [The coefficient of x^2] we know that x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0. Using the distributive property we get, x^2 + 2x - 8 = 0. By equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8.
Hope this helps :) If you spot a mistake in my work or have a question comment down below.