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The equation x^2 + (k-5)x + 1 = 0 has equal roots. Determine the possible values of k.

So the first part of this question is regarding your knowledge and understanding on the subject matter. You should know that for real and equal roots, (b 2 - 4ac)=0. (For real and unequal roots, it is >0 ...
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Solve 5(x + 3) < 60

For this we must expand the bracket:5(x+3)= 5x+15and then we rearrange for 'x':x&lt;9
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Answered by Othman A. • Maths tutor
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What is the simplified expression of: 3a - a x 4a + 2a? And what rule do we use to carry out the simplification?

To simplify the expression we use B(rackets)I(nidices)D(ivision)M(ultiplication)A(ddition)S(subtraction) in this specific order.Hence, here the first thing we need to do is identify each element of BIDMASS. ...
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Answered by Othman A. • Maths tutor
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Solve the following pair of simultaneous equations; 10x+4y=15, 2x+y=7

So, to solve these equations, you must choose the variable you want to work with, in this case let's go with y. Make sure that you write out every step of your working so it is easy to follow and minimises m...
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Answered by Jung H. • Maths tutor
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Express as a simple logarithm 2ln6 - ln3 .

We start with: 2ln6 - ln3 ... First, we rewrite this expression as: ln6 + ln6 - ln3 ... Next, we rewrite this as: ln(2 3) + ln(2 3) - ln3 ... Using the log rule log a xy = log a x + log x y, we express this ...
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