Question

The zeros for (squareroot of x-1) +
(squareroot of x + 4) -5 is (are)?

Written better below

Answer 1

The zeros for \[\sqrt{x-1}+\sqrt{x+4} -5\] is (are)?

Answer 2

your opinion ?

Answer 3

(a) x = 5
(b) x = 10; 17
(c) x = 1
(d) x = 4

Answer 4

ok but how you will get these roots of this function so yes this after you make it equale with zero ?

Answer 5

came on i wann to help you

Answer 6

how do you think what we need to doing in the first step ?

Answer 7

im not sure

Answer 8

hope so much that you have learned in your schoole ,or not ?

Answer 9

i want to square everything but i feel like thats wrong

Answer 10

can you please walk me through it

Answer 11

yes this will be the first step because you know it right that when there is squareroot in afunction first we need to elimine it by squaring it

Answer 12

so there is sqrt(x-1) +sqrt(x+4) -5 =0

Answer 13

ok

Answer 14

sorry my internet conection is wrong

Answer 15

so in the first step add to both sides 5

Answer 16

so what will get

Answer 17

sqrt(x-1) +sqrt(x+4) =5

Answer 18

yeah

Answer 19

now you need to square both sides ,ok ?

Answer 20

i got that far and it was x-1+x+4=25

Answer 21

no you need to square both sides like
a=b

so but in this your case a =((sqrt(x-1) +sqrt(x+4))
ok ?

Answer 22

ok

Answer 23

so than you need to us formula (a+b)^2 = ?
hope that you know it

Answer 24

???

Answer 25

\[(\sqrt{x-1}+\sqrt{x+4})^{2}=25\]

Answer 26

IS that right?

Answer 27

yes continue it

Answer 28

do you know formula ?

Answer 29

no sadly

Answer 30

so (a+b)^2 =a^2 +2ab +b^2

Answer 31

a=sqrt(x-1)
b=sqrt(x+4)

Answer 32

ok so its \[x ^{2}+3x-4\]

Answer 33

=25

Answer 34

so i dont know it just if you write it here all calcules

Answer 35

sqrt(x-1) +sqrt(x+4)=5
(x-1) +2sqrt((x-1)(x+4)) +(x+4)=25
2sqrt((x-1)(x+4))=25-(x-1)-(x+4)
2sqrt((x-1)(x+4))=25-x+1-x-4
2sqrt((x-1)(x+4))=22-2x
2sqrt((x-1)(x+4))=2(11-x)
sqrt((x-1)(x+4))=11-x
(x-1)(x+4)=121-22x +x^2
x^2 +3x -4=x^2 -22x +121
25x =125
x=5

ok ?

Answer 36

ok thank you

Answer 37

check it please step by step for you can understanding all right

Answer 38

was my pleasure

good luck

bye

Answer 39

\[\sqrt{x-1}+\sqrt{x+4}=5\]

Answer 40

\[(x-1)+2(\sqrt{(x-1)(x+4)}+(x+4)=25\]

Answer 41

yes but next the 2 without paranthese

ok ?

Answer 42

ok