Question

Unit 3 Practice Worksheet 6 Radical Equations and Inequalities Solve each equation. Check your solution. 1. 14x + 9 - 3=5 2. √1-7y=3 3. V2x – 9 = 2 4. V7V + 5 =-3 5. V7+ X-5 = V6-X 6. V5+x-VX – 3 = 2 7. Vx+1=3-√4 - x x 8. x2 – 2x + 1 = 2x + 5HELP PLEASE

Answer 1

We are given set of equations in the question.

Question one

$\sqrt[]{4x\text{ + 9}}\text{ - 3 = }5$

Firstly, collect the like terms

The equation becomes

$\sqrt[]{\text{4x + 9}}\text{ = 5+ 3}$

Secondly, square the both sides

$\sqrt[]{(4x+9)^2\text{ }}=(5+3)^2$

Square will cancel the squareroot

(4x + 9) = (5 + 3)^2

Solve the expression inside the parenthesis

(4x + 9) = (8)^2

4x + 9 = 64

Collect the like terms

4x = 64 - 9

4x = 55

Divide both sides by 4

4x/4 = 55/4

x = 13 3/4

Second question