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Solve x^2 + 8x +3 = 0 by completing the square.

Using the completing the square method:

1. Notice (x+4)2 = x2 + 8x +16 which differs from the question by a constant

TD
Answered by Tutor21349 D. Maths tutor
22137 Views

Integrate 4x^3 + 6x^2 +4x + 3

Each term is integrated according to the formula:

axb --> (a/(b+1))x(b+1)

A constant k integrates to kx 

Since this is indefinite inte...

EH
Answered by Emma H. Maths tutor
5390 Views

Differentiate y = 2x^3 + 6x^2 + 4x + 3 with respect to x.

Each term is differentiated according to the formula:

y = axb --> dy/dx = b*ax(b-1)

Constants differentiate to zero.

Therefore in this...

EH
Answered by Emma H. Maths tutor
7306 Views

Find the gradient of a curve whose parametric equations are x=t^2/2+1 and y=t/4-1 when t=2

Remember that the gradient of a curve is expressed as dy/dx. This can be solved by using the chain rule:

dy/dx = dy/dt*dt/dx. The dt in the denominator of the first term, and the numerato...

AS
Answered by Abigail S. Maths tutor
8944 Views

Q: How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

When solving simultaneous equations you are aiming to use both equations together to find out the value of x and y for values that with ‘fit’ in each equation....

KM
Answered by Katherine M. Maths tutor
11853 Views

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