Question

Solve: sqrt{3x-5} + sqrt{2x+3} +1 =0

Answer 1

3x + 5 + 2x + 3 + 2sqrt(3x+5)(2x+3) = -1
2sqrt(3x+5)(2x+3 = 5x - 9
square both sides
4(3x+5(2x+3) = (5x - 9)^2
this will reduce to a quadratic equation

Answer 2

still confused.... sorry

Answer 3

expand both sides
24x^2 + 76x + 60 = 25x + 90x + 81
x^2 + 14x + 21 = 0

Answer 4

ok, thank you for the information.. I really am only an English tutor trying to help math students

Answer 5

so the answer would be x^2 + 14x + 21 = 0 ..??

Answer 6

however with these type of problems because of the squaring you cannot be sure that these solutions are valid
- in fact these 2 are not - if you plug them into original equation they will not fit because you cant have a real square root of a negative number
eg sqrt (-1.71*3 -5)
there are no solutions to this equation - the best way would have been to draw the graph
i'll do that on wolfram

Answer 7

here it is
://www.wolframalpha.com/input/?i=+sqrt%7B3x5%7D+%2B+sqrt%7B2x%2B3%7D+%2B1+%3D0

Answer 8

ok, I appreciate that very much!

Answer 9

the graph looks like this

Answer 10

if there were any roots the curve would intersect the x-axis
yw

Answer 11

ok, thank you.. GOT IT!!

Answer 12

YOU ARE SO AWESOME!!

Answer 13

lol - ty - but it would have been wiser to draw the graph first!