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Solve the following equation: 4x + 7 = 2x - 5

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a w...

Answered by Nicholas D. • Maths tutor

11100 Views

A circle C with centre at the point (2, –1) passes through the point A at (4, –5). Find an equation for the circle C.

You would start with this equation (x – a)² + (y – b)² = r², with the center being at the point (a, b) and the radius being "r". Therefore you would have (x-2)

Answered by Ishan N. • Maths tutor

5085 Views

simplify (2q+4)/(p(p+1)) -q/p

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p

notice that p can be cancelled in the right fraction, and then times out to give

2qp^2 + 4p...

Answered by Madeleine B. • Maths tutor

2876 Views

How do you integrate?

Ok so there are two basic steps to integrating a function:

You add 1 to the power of any x term. e.g. x²-> x³, 2x⁷ -> 2x⁸, 3 = 3x
JS
Answered by Jeremy S. • Maths tutor
3185 Views

Find the indefinite integral of cos^2 x

First, we need to write cos²x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos²x - 1 to see that cos²x = 1/2cos(2x)+1/2. Now, we can...

Answered by Ethan R. • Maths tutor

7899 Views