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Find the equation of the normal to the curve x^3 + 2(x^2)y = y^3 + 15 at the point (2, 1)

The first thing when seeing such a question is to find out what the question wants you to do and plan your method to do so.In this case, the question asks you to find the normal of a curve at a given point (...
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Answered by Kelvin L. • Maths tutor
4239 Views

Expand (x-3)(x+7)

FOIL Method: F - First x x = x 2 O - Outside x 7=7x I - Inside -3 x=-3x L - Last -3 7= -21 Add all the results up to get the answer: x 2 +7x-3x-21 = x 2 +4x-21
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Answered by Martin L. • Maths tutor
8437 Views

Find the value of x: 2x^2 - 3x - 4 = 1

2x^2 - 3x - 4 = 1 To solve, we should bring all the terms to one side, and equate the equation to 0. To do this, we should subtract 1 from each side. 2x^2 - 3x - 4 - 1 = 1 - 12x^2 - 3x - 5 = 0 Next, we shoul...
PS
Answered by Prithvie S. • Maths tutor
4490 Views

If Angela gets 50p change from a £2 coin, how much is 250g of butter? (full details below)

Angela wants to bake a cake. She needs:250g flour250g sugar3 eggs125g butterEach costs:1kg flour 90p1kg sugar £1.206 eggs £1.15250g butter xShow your working.(0.25 x 0.9) + (0.25 x 1.2) + (0.5 x 1.15) + 0.5x...
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Answered by Natalie M. • Maths tutor
3555 Views

The equation kx^2+4kx+5=0, where a is a constant, has no real roots. Find the range of possible values of k.

First, if k=0 then the equation has no real roots since in this case we would have 5=0 (this is a proof by contradiction). A quadratic equation of the form ax^2+bx+c=0 has no real roots if the discriminant b...
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Answered by Emily N. • Maths tutor
14262 Views