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Factorise 12x^2 +17x +6

If you imaging the equation as ax^2 +bx +cYou multiply the numbers of a and c together. This number then becomes the product of two numbers that either add or subtract to make the number for b.So 12 x 6 is 7...
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Answered by Amy B. • Maths tutor
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Factorising Quadratics: x ^2 ​​ − x = 12

Factorising a quadratic basing means 'putting it into 2 brackets'. The standard format for a quadratic equation is:ax^2 + bx + c = 0. You'll usually find that this becomes a lot easier when a=1. As well as f...
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Answered by Avishka D. • Maths tutor
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Differentiate y = ln (3x + 2)

The equation for the derivative of the natural log is dy/dx = f'(x)/f(x) where f(x) = the contents of the natural log, in this case 3x+2. So, to get dy/dx we first need f'(x), the derivative of f(x). This is...
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Answered by Will S. • Maths tutor
22582 Views

Solve the simultaneous equations: y+4x+1=0 and y^2+5x^2+2x=0

y= -4x-1y 2 = (-4x-1) 2 = 16x 2 +8x +1y 2 +5x 2 +2x = 0lets substitute what we found y 2 equal to earlier, which gives us(16x 2 +8x +1) + 5x 2 +2x = 021x 2 + 10x +1 = 0after factorising this we get(7x+1)(3x+...
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Answered by Oleksandr U. • Maths tutor
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Solve int(ln(x)dx)

To solve this we must use integration by parts: int(udv) = uv - int(vdu) (1) Hence let u = ln(x), dv = dx => du=(1/x)dx, v=x, and now using (1) and substituting values we obtain int(ln(x)dx) = ln(x)x - in...
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Answered by George B. • Maths tutor
4009 Views