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How is the quadratic formula used?

When you are told to solve a quadratic equation and when factorising is not possible, quadratic formula can be used to find out the solution. First you will need to get the coefficients from the quadratic eq...
DA
Answered by Darem A. Maths tutor
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How do I factorise x^2 ​- 4?

This is similar to other factorisation problems such as x 2 + 5x - 6. In this problem, you would find prime factors of -6 that add up to 5 (In this case -3, -2). Now, do the exact same with this problem! Thi...
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Answered by Lauren G. Maths tutor
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Showing all your working, evaluate ∫ (21x^6 - e^2x- (1/x) +6)dx

When integrating a long chain of functions, we can integrate each term seperately and combine them. Let us now integrate:∫21x 6 dx = 21∫x 6 dx. Using the Power Rule [∫x a dx = (x a+1 /a+1)], we can say that ...
RA
Answered by Raghav A. Maths tutor
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Rectangle A has a length of 3y cm and a width of 2x cm. Rectangle B has a length of (y + 4)cm and a width of (x + 6)cm. Rectangle A has a perimeter of 94cm and Rectangle B has a perimeter of 56cm. Solve x and y and calculate the areas of each rectangle.

To calculate the perimeter of a shape, you have to add up the lengths of all of its sides. So:A: 3y + 2x + 3y + 2x = 94 ; B: (y + 4) + (x + 6) + (y + 4) +(x + 6) = 56Simplifying both equations give:4x + 6y =...
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Answered by Raghav A. Maths tutor
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What is the mean of the numbers: 1, 7, 25, 9 and 34?

The mean of a group of numbers is found by dividing their sum by how many numbers there are. Mean=(1+7+25+9+34)/5=76/5=15.2
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Answered by Isabel R. Maths tutor
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