Algebra

I have a few questions that I need help with.

Solve the radical equation, and check all proposed solutions.

5. x- square root 3x-2=4 I don't understand this problem.

Solve and check the equation.

10. (x^2+14x+49)^3/4-20=7 would I have to multiply each number by 4/3?

Solve the equation by making an apporiate subsistution.

19. x^4 -13x+36=0 I got 2 and 3 for this problem

20. (4x-3)^2-10(4x-3) + 24=0

Solve the absolute value equation or indicate that the equation has no solution.

29. |8x+9| +5 = 9 I got no solution

30. |x^2-4x+4|=2 I got no solution.


5. rewrite it as
x-4 = √(3x-2)
now square both sides
x^2 - 8x + 16 = 3x - 2
x^2 - 11x + 18 = 0
(x-9)(x-2)=0
x=9 or x=2
check both answers, x=9 works, x=2 does not.

10.
(x^2+14x+49)^3/4-20=7
[(x+7)^2]^(3/4) = 27
(x+7)^(3/2) = 27
[(x+7)^(3/2)]^(2/3) = 27^(2/3)
x+7 = 9
x = 2

19. neither one of your answers satisfy the equation. I was not able to factor it. Check your typing.
I have a feeling it was
x^4 - 13x^2 + 36 = 0
then
(x^2 - 4)(x^2 - 9) = 0
x=±2 or x=±3

20 let 4x-3 = t
then the equation is
t^2 - 10t + 24 = 0
this factors easily and solves nicely for t.
Once you have the two values of t, sub them back in 4x-3 = t

29.
rewrite as
|8x+9| = 4
8x+9 = 4 or -8x-9 = 4
x = -5/8 or x=-13/8

30.
|x^2-4x+4|=2
then x^2-4x+4=2 or -x^2+4x-4 = 2
x^2-4x+2=0 or -x^2+4x-6=0
x^2-4x+2=0 or x^2-4x+6 =0
solve each one using the formula, the first equation yields two irrational answers, the second yields two imaginary answers.

  1. 👍
  2. 👎
  3. 👁
  1. khomqi pivtfjr hvfuzt hfjrdgoyt tbdesvi jgepmi ilkn

    1. 👍
    2. 👎
  2. shhhhhh-ka-bob

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    solve the equation or formula for the indicated variable R=ts^2+3 a)s=under radical R-3/t (not under radical b)s=everything under radical R-3/t c)s=R (under radical)-3/t d)s=everything under radical R/t-3 Thanks again I feel

  2. Math

    Solve the equation. 3x - 3 = -18 A. x = -7 B. x = -5 C. x = -3 D. x = 5 2. Solve the equation. r/2 - 6 = 14 A. r = 40 B. r = 34 C. r = 20 D. r = 16 3. Solve the equation. 12 + 4m = 24 A. m = 9 B. m = 8 C. m = 3 D. m = -6 There are

  3. How do I do this.?(Math.)

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second

  4. Math

    Lesson 8: Systems of Linear and Quadratic Equations Check my work 1. Solve the system of equations. y = 2x^2 - 3 y = 3x - 1 a. no solution b. (-1/2, 5), (2, -5/2) c. (-1/2, -5/2), (2,5)*** d. (1/2, 5/2), (2, 5) 2.how many real

  1. Mathematics

    2. Write an equation to represent the statement: "The product of a number and five plus two is equal to 100." (1 point) A. 5 - x - 2 = 100 B. 5(x - 2)=100 C. 5 x + 2 = 100 D. 5 - 2 x = 100 3. Solve using mental math. (1 point) 5 x

  2. calc

    sin2x = (radical 3)/ 2 solve each equation on the interval [0,2pi)

  3. Trig

    Write a quadratic equation whose roots are 5 + i radical 2 and 5 – i radical 2 ____ x^2 + _____ x+ ______=0

  4. History

    which answer best describes andrew johnson's relationship with the radical republicans? A:he founded the radical Republican movement B: he worked with the radical Republicans to pass important legislation C: you frequently voted

  1. Algebra

    1.Simplify the radical expression. √5+6√√5 A.5√5 B.7√10 C.7√5 D.5√10 2.Simplify the radical expression. 2√6+3√96 A.14√6 B.14√96 C.5√96 D.50√6 3.Simplify the radical expression. (8+√11)(8-√11) A.53

  2. Algebra

    For questions 1-5 solve the equation. 1.-2v-7=23 (A)15 (B)8 ★ (C)-8 (D)-15 2. X/3-10=-12 (A)-6 (B)-66 (C)6 (D)66★ 3. d/3+10=7 (A)51 (B)20 ★ (C)0 (D)-9 4. 2(2-2x)=-3x (A)-4 (B)4 ★ (C)6 (D)0 5. 2.9n+1.7=3.5+2.3n (A)3 (B)-3

  3. radical equation - no solution right?

    radical sign (w + 5) = 2 In all my problems there are a letter variable on the end example: radical sign (-u + 30) = u I then square both sides, drop the radical sign then (u+6)(u-5)=0 then check to see if they are both true I

  4. Geometry

    1.If two different lines are perpendicular to the same plane, they are: a. Collinear b. Coplanar c. Congruent d. Consecutive I think the answer is B, is that correct? Also, this: 2. Express 3 radical 75 plus radical 27 all over3

You can view more similar questions or ask a new question.