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Maths
GCSE

Solve 2x^2-14x+12=0

Firstly, we can divide through by 2 to get a simpler form of the equation: x^2-7x+6=0. To solve this quadratic equation we need to factorise it. We do this by splitting it up into two brackets which would...

FA
Answered by Ferdous A. Maths tutor
4532 Views

Solve the following quadratic inequality: 6x^2 -x -35 < 0

Begin by factorisation: (3x+7)(2x-5) < 0 Then determine which values of x give 0 -7/3 and 5/2Draw a sketch of the graph Y intercept = -35Then determine where less than 0 - under x axis. Reach -7/3<x...

LY
Answered by Luke Y. Maths tutor
3562 Views

Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0

By noticing the the numerator (x^2 + 1) is similar to the derivative of the denominator (x^3 +3x +2) you can integrate the function by using natural logarithms, to form the logarithm ln( x^3 +3x +2). Howe...

AT
Answered by Aaron T. Maths tutor
3837 Views

Complete the square for x^2 + x - 6.

First, let us separate the constant term and complete the square for (x^2 + 1x).
x^2 + x - 6 = (x^2 + x) - 6
Now, let us halve the coefficient of x.
0.5 of +1 = +0.5
Write (x )^2 with ...

LT
Answered by Larra T. Maths tutor
3645 Views

A farmer has a garden shaped into an isosceles triangle. Its side is 7m. He needs to enclose the perimeter, using copper wires, in order to avoid undesirable incidents. Each meter of copper wire cost 2£. How much does he need to pay to secure his garden?

Each side of the triangle is 7 meters, because it is an isosceles triangle. P= perimeterP = 7 +7 +7 P= 21 meters
Each meter of copper wire costs 2 £ so,
Total cost= Perimeter in meters * Cost ...

ID
Answered by Iosif D. Maths tutor
3488 Views

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