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x² - 6x + 5 = 0.

For simple quadratic equations such as this example we need to factorise the expression into 2 brackets: (x+a)(x+b) = 0.

To find a and b we can expand the bracket...

Rewrite (8-9x)^(2/3) as (8(1-(9/8)x)^(2/3)=4(1-(9/8)x)^(2/3). Now apply the C4 binomial formula in the formula booklet, so: 4(1 - ((9/8)x)^(2/3)= 4[ 1 + (2/3)*((-9/8)x) + (2/3)((-9/8)x)^2 .....]= 4[ 1 - (...

p(x) = 2x⁵ + x⁴ – 26x³ – 13x² + 72x + 36
i) obtain the sum by using vieta's fomula: for p(x) the sum is hence -b/a hence, sum = -1/2
ii) obtain the ...

To differentiate a function with respect to (wrt) x you multiply the function by the power and then lower the power by one. For example, if f(x)=x^3, then to differentiate you multiply the function by 3 (...

A probability that an event occurs will always range between 0 and 1. If you want to know the probability of two events both happening you would multiply them together. For exampke what is the probability...