Got It? 5. a. What is the solution of 6 - V2x = 10?
b. Reasoning How can you determine that the equation V x = -5
does not have a solution without going through all the steps of
solving the equation?^ Lesson Check
Do y o u k n o w H OW?
Solve each radical equation. Check your solution. If
there is no solution, write no solution.- V3x + 10 = 16
- V r + 5 = 2 V r - 1
- V2x - 1 = x
- V x - 3 = Vx + 5
MATHEMATICAL
Do y o u UN DERSTAND? PRACTICES- Vocabulary Which is an extraneous solution of
s = Vs + 2?
CD 2
CD o
CD -l
CD -2- Reasoning What is the converse of the conditional
statement “If x = y, then x2 = y2”? Is the converse of
this statement always true? Explain.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Practice Solve each radical equation. Check your solution.- Vx +3 = 5
- Vz- 1=5
- V2h + 4 = 8
- V3a +1 = 7
- 1 = V-2v-3
MATHEMATICAL
PRACTICES- V t + 2 = 9
- Vn- 3 = 6
- 3 - Vt= -2
- V lO h + 6 = 6
- Vx - 3 = 4
4^ See Problem 1.- Recreation You are making a tire swing for a playground. Ihe time t in
seconds for the tire to make one swing is given by t = 2 where € is
the length of the swing in feet. You want one swing to take 2.5 s. How many
feet long should the swing be? - Geom etry The length s of one edge of a cube is given by s = /where A
represents the cube's surface area. Suppose a cube has an edge length of 9 cm.
What is its surface area? Round to the nearest hundredth.
Solve each radical equation. Check your solution.- V3x+ 1 = V 5x- 8 20. V2y = V9 - y
- V7v-4 = V5v+ 10 22. VsTTo = V6 - s
- Vn + 5 = V5n — 11 24. V3m + 1 = V7m — 9
See Problem 2.See Problem 3.636 Ch ap t er 10 Rad i cal Exp r essi o n s an d Eq u at i o n s