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Differentiate the following equation with respect to x; sinx + 3x^2 - 2.

The first step with any differentiation question is to identify which variable you are differentiating with respect to. In this case the variable is x, so we know we're looking to differentiate each term inv...
RA
Answered by Ross A. • Maths tutor
5511 Views

Factorise and solve x^2 - 8x + 15 = 0.

15 can be rewritten as 3*5, so our factorisation must be in the form (x ? 3)(x ? 5). To determine the signs inside the brackets we need to find a way to make -8 from 3 and 5. This is done with -8=-5-3, so we...
JW
Answered by James W. • Maths tutor
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Solve 5x^2 - 9x + 4 = 0 using the quadratic formula

The quadratic formula is (-b±sqrt(b^2-4ac))/2a where a is the coefficient of the x^2 term, b is the coefficient of the x term and c is the number. So, in this case a=5, b=-9 and c=4. Substitute this into the...
MP
Answered by Matilda P. • Maths tutor
10144 Views

Solve these equations simultaneously: (1) 5x - 10z = -45 and (2) 9x = -5z + 80

There are two methods to solve this equation. 1) Rearrange equation 2 to get all the xs and zs on the left hand side (9x+5z=80). Multiply either equation to get an equal number of xs or zs in both equations,...
MP
Answered by Matilda P. • Maths tutor
4215 Views

How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?

Firstly, label each coefficient: coefficient in front of x2 “a”, is equal to 4. “b” is the coefficient in front of x is equal to +4 “c” is equal to -15 The procedure for factorising starts with working out t...
BS
Answered by Bhavin S. • Maths tutor
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