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How do you factorise quadratic equations by completing the square?

Divide the term in x by 2 and then put it in the bracket which will be squared. The last term from that expansion needs to be adjusted for.

DM
Answered by Dario M. Maths tutor
2990 Views

Expand: (3x-1)(x+5)(4x-3)

(3x^2+14x-5)(4x-3)= 12x^3-9x^2+56x^2-42x-20x+15=12x^3+47x^2-62x+15

WH
Answered by William H. Maths tutor
7074 Views

Express root(125^x)/5^(2x-1) in terms of 5^a where a is an expression in terms of x.

root(125^x) = 125^(x/2) = 5^(3x/2)
5^(3x/2) / 5^(2x-1) = 5^(3x/2 - 2x +1) = 5^(-x/2 + 1)

SN
Answered by Sophie N. Maths tutor
3549 Views

Find the cross product between two unit vectors a and b.

First write out the unit vectors in I, j, and k form. Then put these values into a matrix. Then find the determinant of the matrix. Then you will have reached your answer. I couldn't figure out how to sho...

NL
Answered by Nicholas L. Maths tutor
1426 Views

Tom has a circular garden of radius 30m and he wishes to cover it with fertiliser. Boxes of fertiliser cover 28m^2 of garden. How many boxes will Tom need to cover his entire garden?

Area of a Circle = πradius2 Area of Garden = π30*30 = 2827.43 m2Boxes needed = 2827.43/28 = 101

OR
Answered by Oliver R. Maths tutor
2572 Views

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