-3x^2 + 52x + 378 = 0 ... slove ths by completing the square method.
start by factoring out the GCF
??? opss sry, it must be sloved with spilitting the middle term , ......
yes, thats the second step
first step for all these methods is to factor out GCF if any..
however there is no GCF here :) so lets continue wid splitting the middle term..
before doing that, just make sure u dont have any typo in the middle term is it really 52, and not 42 ? ??
let me check , a sec plz
okie
yeah! i got 52 only, .... actually question is , a vehicle travels at a certain average speed for a distance of 63km and thn travels a ditance of 72km at an average speed of 6km/h more than its original speed. if it takes 3 hours to complete the total journey, what si its original averge speed???
ths is the actually question, after slovign i got tht above question answer, .......
one sec..
hehe maybe i sloved it wrong, ... coudl u plz slove it
sure...
\(\large \mathbb{ \frac{63}{x} + \frac{72}{x+6} = 3 }\)
is that the equation u got ?
yeah! yes i got tht 1 only, .....
okay lets simplify this and solve :)
sure ...
\(\large \mathbb{ \frac{63}{x} + \frac{72}{x+6} = 3 }\) \(\large \mathbb{ \frac{63(x+6)}{x(x+6)} + \frac{72x}{x(x+6)} = 3 }\) \(\large \mathbb{ 63(x+6)+ 72x = 3x(x+6) }\)
fine ?
a sec let me check, ....... had anet probelm just now
accha!!! so we must multiply x(x+6) to 3 also,!!! didn't knew :P
yes !
yeah! wt after tht???
\(\large \mathbb{ \frac{63}{x} + \frac{72}{x+6} = 3 }\) \(\large \mathbb{ \frac{63(x+6)}{x(x+6)} + \frac{72x}{x(x+6)} = 3 }\) \(\large \mathbb{ 63(x+6)+ 72x = 3x(x+6) }\) \(\large \mathbb{ 21(x+6)+ 24x = x(x+6) }\) \(\large \mathbb{ 21x+126+ 24x = x^2+6x }\) \(\large \mathbb{ x^2-39x -126 = 0 }\)
you wud get that quadratic... usko sovle kar
if u want, u may split the mid term : -126 = -42*3 -39 = -42+3
\(\large \mathbb{ x^2-39x -126 = 0 }\) \(\large \mathbb{ (x+3)(x-42) = 0 }\)
\(\large \mathbb{ x=-3~~~ x = 42 }\)
discard the negative value so the original average speed during the first 63km is \(42\)
\(42 \) kmph
see if that makes some sense
oopsss a doubt , .... after tht >>> 21(x+6)24x= x (x+6) 21x+126+24x= x^2 +6x... thr above hw did u / y did u add 24x again?
anyways thnks
hey u still have that doubt ?
yeah! :( , poor in maths
no you're very good, and thats a good question to ask actually.. let me give it to u bit detailed
\(\large \mathbb{ 63(x+6)+ 72x = 3x(x+6) }\) divide both sides by 3 : wat do u get ?
omg!!! sm1 prasied me tht alos in maths , ....... let me slove wait, .... 21(x+6) + 24x = x(x+6) , ...
huraay! i got it , ..... by myself
yes thats right ! you're smart lol
:P smart , heheh applying butter on me, ... anyways wt abt ths question>
wat question ha
u already solved it by urself u got 24x right -_-
PT and QT are two tangents to the circle, if angle PTQ = 50 degree, find angle PSQ and angle OPQ. ....
oh another question ok go ahead..
another quetion men, ....... tht question is already slove :P
ok ok just realized lol :D
draw it out
:P , ... hw to slove tht 1
start by drawing the circle and tangents and also label them
sec plz
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