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give the values of x when 2x^2+5x-3=0

First we need to find two numbers that multiply to make ac and add to make b which are -6 and 5 in this case.The two numbers that do this are 6 and -1. Now we separate the 5x into 6x and -x. Putting this int...
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Answered by Sachin V. • Maths tutor
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Integrate the function f(x) = 1/(4x-1)

t Using the fact that d/dx ( ln g(x)) = g'(x)/g(x), we can see that the integral of this function will be an ln function. From observing f(x) we see that if the answer was ln(4x-1) then f(x) would need to be...
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Answered by Sachin V. • Maths tutor
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In a tennis club, there are twice as many male members as female members. 1/3 of the males wear hats when they play. 1/4 of the females wear hats when they play. 66 members wear hats. How many members does the club have?

Let m be the number of males. Let f be the number of females. (1/3)m + (1/4)f = 66 (1) m = 2f (2) (1/3) * 2f + (1/4)f = 66 (substitute (2) into (1)) (2/3)f + (1/4)f = 66 (8/12)f + (3/12)f = 66 (11/12)f = 66 ...
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Answered by Neil S. • Maths tutor
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The sum of the first and third term of a geometric sequence is 72. The sum to infinity of this sequence is 360, find the possible values of the common ratio, r.

We are dealing with a geometric sequence here, we will therefore focus on the geometric sequence formulas that are given in the math HL formula booklet. The first part of the information we are given states ...
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Answered by Armand G. • Maths tutor
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Solve the simultaneous equations: 2x + y = 18, x - y = 6

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrange f...
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Answered by Megan H. • Maths tutor
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