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How do you complete the square for the question x^2 + 6x - 10 ?

the x squared is counted as A, the 6x is counted as B and -10 is C2) you halve the B term so in this case it would be 3x from the 6x and write it with an x in a bracket squared e.g. (x+3)^23) then you square...
AS
Answered by Amelia S. • Maths tutor
5041 Views

Solve algebraically the simultaneous equations: 6m + n = 16 and 5m - 2n = 19

The first step of solving simultaneous equations with two unknown variables (m & n in this case) is to rearrange one of the equations so that we get one variable in terms of the other. Lets take the firs...
HD
Answered by Harry D. • Maths tutor
5308 Views

How do I work out the measurement of an angle in a right-angle triangle?

When solving an angle for a right-angled triangle you need to use the acronym SOH CAH TOA, using the functions sin(x), cos(x) and tan(x). The other letters O, H and A represent the side of the triangle, stan...
ZS
Answered by Zoe S. • Maths tutor
3752 Views

Write down the coordinates of the turning point of the graph y = x^2 – 8x + 25

First, for this graph dy/dx = 2x-8. At a turning point of any graph, dy/dx=0. Therefore 2x-8=0. x=4. Plug x value back into original graph formula : (4)^2 - 8(4) + 25 = 9. Therefore y=9. Coordinates : (4, 9).
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Answered by Adi R. • Maths tutor
8716 Views

Write 2x^2 + 16x + 26 in the form a(x + d)^2 + e where a, d, and e are integers.

This is an example of completing the square. Completing the square means taking a usual quadratic equation ax 2 +bx+c=0 and writing it as a(x+d) 2 +e=0, where we must find the numbers d and e.Consider comple...
HB
Answered by Hannah B. • Maths tutor
9429 Views