Help in mathematics.?
A thank can be filled completely with water by two pipes in 10 minutes. It is given that the larger pipe alone takes x minutes to fill the tank while the smaller pipe alone needs an additional 3 minutes to fill the same container.
Q1) Write down an equation in x, and show that it simplifies to x^2 – 17x – 30 = 0.
Q2) Solve the equation x^2 – 17x – 30 = 0, giving the solutions to 3 decimal places.
Your help is truly appreaciated.
Thanks.
Top 2 Answers
Favorite Answer
Larger pipe fills (1/x) of the tank in 1 minute and smaller pipe fills (1/(x+3)) of the tank in 1 minute. In 1 minute TOGETHER, they will fill 1/10 of the tank
(1/x) + 1/(x+3) = 1/10
multiply throughout by x*10*(x+3), we get
10(x+3) + 10x = x(x+3)
10x +30 +10x = x^2 +3x
or, x^2 -17x -30 = 0 …..There you go!
solve this quadriatic equation to find the 2 values of x
If you really appreciate my taking the trouble to do this, then Rank my answer..!!!
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i have no idea sorry, i hate maths sooooooo much, bt the first answer on here sounds good! failin that, go and ask for help in private with ur maths teacher, he will help u!
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