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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...

Answered by James W. • Maths tutor

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During the light-independent reaction of photosynthesis, CO2 is converted into organic substances, describe how.

The light-independent reaction (Calvin cycle) takes place in the absence of light. Firstly, CO2 combines with ribulose biphosphate (RuBP) to produce two molecules of glycerate-3-phosphate (GP). GP is redu...

Answered by Tom T. • Biology tutor

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State whether the following conduct electricity as solid or molten: Aluminium, Aluminium fluoride, Boron tribromide

We start with aluminium (Al). Al conducts electricity in both solid and molten states, this is because Al has metallic bonding between fixed positive Al^(3+) ions and delocalised electrons. The delocalise...

Answered by Tom T. • Chemistry tutor

37860 Views

Find the general solution of: y'' + 4y' + 13y = sin(x)

First we find the auxilary equation by substituting y with m^0, y' with m^1 and y'' with m^2. We get m^2 + 4m + 13 and find the roots using the differential equation, m = (-4 +- (16-4x1x13)^0.5)/(2x1).

Answered by Tom T. • Further Mathematics tutor

9143 Views

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 ...

Answered by Matilda P. • Maths tutor

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