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Given that the binomial expansion of (1 + kx) ^ n is 1 - 6x + 30x^2 + ..., find the values of n and k.

Setting (1 + kx)ⁿ equal to 1 - 6x + 30x² + ..., the binomial expansion can be applied to the LHS, by making use of the formula provided in the formula book. In this case, where x app...

Answered by Sanchit G. • Maths tutor

13188 Views

What is completing the square?

Completing the square is a method for rewriting a quadratic expression, and can be useful in identifying the minimum value of the expression. The aim is to end up with an expression which looks like c((x+...

Answered by Lucy F. • Maths tutor

2690 Views

Solve the simultaneous equations 3x+2y=8 and 3y+4x=11

Equal out the x terms so 12x+8y=32 and 9y+12x=33Then subtract the first equation from the secondThis gives y=1Put this value into one of the equations so 12x+8=32Solve the equation giving x as 2.

Answered by Emily P. • Maths tutor

4256 Views

A curve has equation -2x^3 - x^2 + 20x . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

Lets think about what stationary points actually mean. A stationary point of a curve is where the gradient is equal to 0. Illustrate by plotting the graph of y = x^3.We know that by differentiating the eq...

Answered by Torty S. • Maths tutor

3323 Views

I'm confused about differentiation and integration, could you explain these to me?

Let's start with differentiation. Differentiation is the instantaneous rate of change. We differentiate functions to find their rate of change as a function of their input values, this is known as a funct...

Answered by Gabriel D. • Maths tutor

5338 Views