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First lets put all terms on the LHS;5^2x-5^x-5 = 0 (1);Now, to help us observe a pattern, put brackets on each term and separate power of x from its coefficients(5^x)^2...

Factorise the equation (the equation is quadratic in sin(x) )2 sin²(x) - sin(x) - 1 = 0(2sin(x) + 1)(sin(x) - 1) = 0Work out the solutions to the quadratic equation2sin(x) +1 = 0 or ...

The value of the car in 2019 would be £7488.39This is because you take the original value of the car, and multiply it by the multiplier (1.00-0.09)to the power of how many years have passed since the init...