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Yahoo!
 2 years ago
The number of solutions for 9x^2  30x + 37 = 9sin2x ?
Yahoo!
 2 years ago
The number of solutions for 9x^2  30x + 37 = 9sin2x ?

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Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn @satellite73 @RadEn

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0graph em they don't intersect

hba
 2 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=9x%5E2++30x+%2B+37+%3D+9sin2x Have a look at this.

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0Is there any way to find it manually i mean...With out Graph...:)

Taufique
 2 years ago
Best ResponseYou've already chosen the best response.2yes there is a way to find the number of real solution of given equation::: step1: let y=9x^2  30x + 37 step2: and let y=9sin2x step 3: plot the graph of both equation in the same axis .. step 4: the point of intersection of the both curve will give the number of real solution of the given equation..

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.0Complete the square on the left hand side. What is the minimum value of that expression?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0that wont quite do it

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0oh yes it will, sorry

Taufique
 2 years ago
Best ResponseYou've already chosen the best response.2y=9x^2  30x + 37 this is the eqn of parabola so draw the graph of this parabola. and y=9sin2x is a sine curve which maximum value will be 9 and minimum value will be 9 .and also draw it.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0@tkhunny has a method without the graph min is too large,

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0but this will not work in general, because it could be that the min value of the parabola is less that the max of the sine curve, but they still could not intersect

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.0True. I thought it might be a good first clue.

Taufique
 2 years ago
Best ResponseYou've already chosen the best response.2\[12\le9x ^{2}30x+37\] and \[9 \le \sin 2x \le 9\] wee see that te two curve will never intersect to each other

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.0@Taufique typo. "9*" missing from the sine expression.

Taufique
 2 years ago
Best ResponseYou've already chosen the best response.2ohh sorry ..yes ,9 is missing in the above equation
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