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Further Mathematics
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The quadratic equation x^2-6x+14=0 has roots alpha and beta. a) Write down the value of alpha+beta and the value of alpha*beta. b) Find a quadratic equation, with integer coefficients which has roots alpha/beta and beta/alpha.

a) We know that, for a general quadratic equation that can be written as : ax2+bx+c=0, the sum of its roots (S) is equal to -b/a and the product of its roots (P...

BC
25500 Views

A useful practice: how to determine the number of solutions of a system of linear equations beforehand

We have a system of n linear equations incorporated by Ax = b, with being a n x p matrix of numeric coefficients, x being a p-dime...

FB
2900 Views

Find the determinant of a 3x3 matrix.

Will need a whiteboard so I can draw a matrix to fully explain.

SM
2279 Views

What is the modulus of 3+4i?

5

VC
2242 Views

Find the stationary point of 3x^2+7x

dy/dx=6x+7

6x+7=0

x=-7/6

Sub back into original equation; y=98/6

HS
2120 Views

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