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2x²+6x-3=0To begin, we need to make sure x² is by itself, meaning that we divide the whole equation by 2. So from here we get (2x²+6x-3=0) / 2 = x²+3x-3/2=0. No...

x= (3 + ln(11))/4

Hi there, this is a common confusion so don't worry.
It is helpful to write out a number line when differentiating and drawing an arrow to show which way the power is moving.
<---- dif...

(a) If the sequence = p , 5p-8 and 3p+8 is an arithmetic sequence then the difference between successive terms must be constant.e.g. (5p-8)-(p) = (3p+8)-(5p-8)=> 4p-8 = -2p+16 => 6p = 24 => p=24/...

We start off by constructing simultaneous equations as there are two variables - a and d - that we do not know. We use the formula:a_n = a + (n-1)di) 11.1 = a + 9dii) 7.1 = a + 49d
i) - ii)...