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N sweets in a bag. 6 sweets are orange. The rest are yellow. Hannah takes a random sweet from the bag and eats it. She then takes another random sweet from the bag & eats it. The probability Hannah eats 2 orange sweets is 1/3. Show n^2 - n - 90 = 0.

It's a probability equation. The probability of getting an orange sweet the first time is 6/n. The probability of getting an orange sweet the second time is 5/n-1Times those together to get the probability o...
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Answered by Hannah B. • Maths tutor
4518 Views

Find x when: (2^x)(e^(3x+1))=10. Give your answer in the form (a + ln(b)) / (c + ln(d)) , where a,b,c,d are integers.

First notice x is currently written as a power of 2 and 3x + 1 is written as a power of e, so we are going to need to use some sort of log to start getting x on its own. You can take a clue from the question...
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Answered by Thomas S. • Maths tutor
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A curve has equation y = 4x^2 + 5x + 3. A line has equation y = x + 2. What is the value of x?

First you as both equations are = to y you can make them equal to eachother. 4x 2 +5x +3 = x+ 2.Then you rearrange the equation to gather all the terms on one side and make the equation = to 0. You minus x f...
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Answered by Katherine H. • Maths tutor
6938 Views

How do I solve a quadratic equation by competing the square?

How would you solve x 2 +8x+16=81 Show that this can be factorised (x+4) 2 =9 2 Which can then be easily solved by square rooting both sides What if we could now use this method to solve all quadratics?!!? C...
Answered by • Maths tutor
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Solve ((x+2)/3x) + ((x-2)/2x) = 3

Multiple first fraction through by 2 and second fraction through by 3((2x+4)/6x) + ((3x-6)/6x) = (5x-2)/(6x) = 3Expand brackets and isolate x5x-2 = 18x13x = -2x = -2/13
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Answered by Alex B. • Maths tutor
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