DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
3. Special Right Triangles
Continue to next subchapter

Exercise 52 Page 648

What is the inverse operation of square root?

G

Practice makes perfect

To solve equations with a variable expression inside a radical, we first want to make sure the radical is isolated. Then we can raise both sides of the equation to a power equal to the index of the radical. Let's try to solve our equation using this method!

sqrt(5-4x)-6=7
AddEqn

LHS+6=RHS+6

sqrt(5-4x)=13
RaiseEqn

LHS^2=RHS^2

(sqrt(5-4x))^2=13^2
PowSqrt

( sqrt(a) )^2 = a

5-4x=13^2
CalcPow

Calculate power

5-4x=169
â–¼
Solve for x
SubEqn

LHS-5=RHS-5

- 4x=164
DivEqn

.LHS /(- 4).=.RHS /(- 4).

x=- 41

Finally, we will check our solution by substituting the value into the original equation.

sqrt(5-4x)-6=7
Substitute

x= - 41

sqrt(5-4( - 41))-6? =7
â–¼
Simplify left-hand side
MultNegNegOnePar

- a(- b)=a* b

sqrt(5+164)-6? =7
AddTerms

Add terms

sqrt(169)-6? =7
CalcRoot

Calculate root

13-6? =7
SubTerm

Subtract term

7=7 ✓

Therefore, we know that x=- 41 is a solution of our equation. This corresponds to answer G.

Subchapter links expand_more
arrow_right Exercises p.644-648
1
Exercises 2 (Page 644)
Exercises 3 (Page 644)
Exercises 4 (Page 644)
Exercises 5 (Page 644)
Exercises 6 (Page 644)
Exercises 7 (Page 644)
Exercises 8 (Page 644)
Exercises 9 (Page 644)
Exercises 10 (Page 644)
Exercises 11 (Page 644)
Exercises 12 (Page 644)
Exercises 13 (Page 644)
Exercises 14 (Page 644)
Exercises 15 (Page 644)
Exercises 16 (Page 644)
Exercises 17 (Page 644)
Exercises 18 (Page 645)
Exercises 19 (Page 645)
Exercises 20 (Page 645)
Exercises 21 (Page 645)
Exercises 22 (Page 645)
Exercises 23 (Page 645)
Exercises 24 (Page 645)
Exercises 25 (Page 645)
Exercises 26 (Page 645)
Exercises 27 (Page 645)
Exercises 28 (Page 645)
Exercises 29 (Page 645)
Exercises 30 (Page 645)
Exercises 31 (Page 645)
Exercises 32 (Page 645)
Exercises 33 (Page 645)
Exercises 34 (Page 645)
Exercises 35 (Page 646)
Exercises 36 (Page 646)
Exercises 37 (Page 646)
Exercises 38 (Page 646)
Exercises 39 (Page 646)
Exercises 40 (Page 646)
Exercises 41 (Page 646)
Exercises 42 (Page 646)
Exercises 43 (Page 646)
Exercises 44 (Page 647)
Exercises 45 (Page 647)
Exercises 46 (Page 647)
Exercises 47 (Page 647)
Exercises 48 (Page 647)
Exercises 49 (Page 647)
Exercises 50 (Page 647)
Exercises 51 (Page 648)
Exercises 52 (Page 648)
Exercises 53 (Page 648)
Exercises 54 (Page 648)
Exercises 55 (Page 648)
Exercises 56 (Page 648)
Exercises 57 (Page 648)
Exercises 58 (Page 648)
Exercises 59 (Page 648)
Exercises 60 (Page 648)
Exercises 61 (Page 648)
Exercises 62 (Page 648)
Exercises 63 (Page 648)
Exercises 64 (Page 648)
Exercises 65 (Page 648)
Exercises 66 (Page 648)
Exercises 67 (Page 648)
Exercises 68 (Page 648)