maths doubt

root x+2 >= x I need to know if this is correct or no : Using wavy curve method x belong to [-1,2]…..1 x is defined only when it is greater than or equal to -2……..2 So from 1, 2 will x belong to [-2,2] ? Please correct me if I went wrong somewhere
19 Replies
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@Apu
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stormycloud
stormycloudOP8mo ago
That is what I thought but -2 satisfies eqn and also is the ans in the key
iSoham
iSoham8mo ago
that would be always correct, no? (my bad, i didn't see the root part)
stormycloud
stormycloudOP8mo ago
do I have to chnage the inequality somewhere ? Bc if not then -2 does not satisfy the equation after squaring on both side but satisfies the og eqn and also x is negative/positive so idk what to do with the symbol
Deleted User
Deleted User8mo ago
you should make 2 cases after squaring, x>0 and x<0, then take union.
stormycloud
stormycloudOP8mo ago
Ah right makes sense, let me try
Slembash
Slembash8mo ago
both cases banake u get, [0,2] n [-2,0] then union gives [-2,2]
stormycloud
stormycloudOP8mo ago
Wait ur getting 0 ? @Slembash But yah tysm I got [-2,2]
Deleted User
Deleted User8mo ago
ji 🙏 i hope the hint helped?
stormycloud
stormycloudOP8mo ago
Yes yes it did, it did not cross my mind that I can take it as two which was quite dumb of me lol, I am just waiting for slembash to respond and I’ll close the doubt :]
Deleted User
Deleted User8mo ago
no worries! 😄 happy to help 👍
Slembash
Slembash8mo ago
sorry phone died
stormycloud
stormycloudOP8mo ago
Oh ok np, the real question is did u get 0 ?
DaddyCalling268
DaddyCalling2688mo ago
how to solve these type of questions
No description
Deleted User
Deleted User8mo ago
i can give you hint : write 1 + sin(x) as sin^2(x/2) + cos^2(x/2) + 2sin(x/2)cos(x/2), and as you can see, this is a perfect square. @DaddyCalling268
iTeachChem
iTeachChem8mo ago
hello! is this doubt sorted? Can we mark it as solved if so?
stormycloud
stormycloudOP8mo ago
Hello, yah sorry totally forgot , I was waiting for slembash to reply lol +solved @Deleted User @Slembash
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