4. REVIEW PROBLEM: Solve).

√3-2x + √3x +13 =5

the term (3-2x) is under a radical as well as the term (3x+13). Please show all steps!! i keep on getting x=9 but plugging it in it is wrong!

1 answer

yes, x=9 will certainly not work.

√(3-2x) + √(3x+13) = 5
√(3-2x) = 5 - √(3x+13)
3-2x = 25 - 10√(3x+13) + 3x+13
35+5x = 10√(3x+13)
x+7 = 2√(3x+13)
x^2+14x+49 = 12x+52
x^2+2x-3 = 0
(x+3)(x-1) = 0
x = 1 or -3

check
x=1: √1 + √16 = 5
x=-3: √9 + √4 = 5
yep.
Similar Questions
  1. Simplify by combining like terms.Problem #32 radical (63) - 2 radical (28) + 5 radical (7) My answer: 4radical(7) Problem #50
    1. answers icon 0 answers
  2. Solve for x.Problem #22 25x^2 = 13 My answer: x = + - radical (13)/(5) Problem #32 2 (x - 5 )^2 = 3 My answer: x = 5 +- radical
    1. answers icon 0 answers
  3. Problem 22Solve each quadratic equation by completeling the square. x^2 -6x-3 = 0 MY answer: x = 3 +- 2 radical (3) Problem 28
    1. answers icon 0 answers
    1. answers icon 0 answers
more similar questions