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Solve for x: y=x^2-x-12

Apply the quadratic formula with a=1, b=-1, c=-12. This gives x=(1 plus or minus 7)/2 or x=4,-3.
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Answered by Tomas M. • Maths tutor
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Solve the simultaneous equations - x+y=2 and 4y^2 - x^2 = 11

The objective of simultaeous equations is to be able to work out two unknowns by using two equations in which they are both involved. The first step is to label the equation x+y=2 as equation 1 and 4y 2 - x ...
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Answered by Keshlee C. • Maths tutor
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Find the nth term in the series: 3, 7, 11, 15, 19

Find the difference between each value. 7-3, 11-7 ... For this series the difference is 4. The nth term is then 4n + or - a constant. The series is 3, 7, 11.. each of these is 1 below a multiple of 4. 4 1- 1...
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Answered by Hermione W. • Maths tutor
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How to find the gradient of a line?

The gradient, m, is the change in the y coordinates over the change in the x coordinates. M=(y 2 - y 1 ) / ( x 2 - x 1 )
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Answered by Hermione W. • Maths tutor
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Differentiate 7(3x^2+7)^(1/3)

Begin by differentiating the terms in the brackets, which gives just 6x. Bring 6x forward, out of the brackets, together with the index on the brackets - 1/3. This gives 42x/3 or 14x in front of the brackets...
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Answered by Tomas M. • Maths tutor
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