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

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

FC
Answered by Flora C. Maths tutor
3114 Views

Explain how allopatric speciation can lead to the formation of 2 species from an ancestral species?

The ancestral species is split into two populations by a geographic barrier, which prevents gene flow. Mutations arise which causes genetic variation between the populations. There are different environme...

SH
Answered by Seb H. Biology tutor
2718 Views

Prove that (2*a^2 + 7a + 3)/(a + 3) is an odd number for any positive integer number, a.

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd nu...

NM
Answered by Nadia M. Maths tutor
3442 Views

Find the length of the hypotenuse if the right angled triangle's other two sides are of length 5cm and 12cm.

Use of a^2+b^2=c^2 must be included in the answer.

Furthermore the numbers must be put in the above equation to give: 5^2+12^2=c^2

This must then be solved to give: 169^0.5=c

The answ...

SW
Answered by Sarah W. Maths tutor
3425 Views

4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.

Factorise 4x+ 8x + 3 = 4(x+ 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x2+2x = (x+1)2-12 = (x+1)2-1 Hence, 4((x+1)2

DW
Answered by Donny W. Maths tutor
13610 Views

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