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Maths
GCSE

y = 4x^2 + 20x + 11 is a curve. Find the minimum point of the curve.

Differentiate equation = 8x+ 20Set differential to 0 and calculate xx = 2.5

Answered by Michael D. Maths tutor
2108 Views

Write 2x^2 + 6x + 6 in the form a(x^2 + b) + c by completing the square.

2x2 + 6x + 62(x2 + 3x + 3) => Factor out 4 from each term so the x2 term of the quadratic has 1 for a coefficient.2[(x + 3/2)2 - d + 3] => Here, we've div...

Answered by Iffshah I. Maths tutor
2549 Views

What is the simplified version of ( 2a+4a^2+3a)

Firstly group the like terms to make the expression (5a+4a^2) and then factor out 'a' as it is a common term.This makes the expression ( a(5+4a))

Answered by Rajun G. Maths tutor
2857 Views

Find the solutions to the simultaneous equations

y - 2x = 3 x2 + y2 = 18Step 1- re-arrange the first formula to find y: y = 3 + 2x Step 2- Substitution: x2 + ( 3 + 2x )2 = 18 Step 3- Expand the brackets: ( 3 +...

Answered by Rebecca H. Maths tutor
2276 Views

Find the roots of the following curve: y = 6x^2 - 4x.

The two terms in the quadratic equation share the factors 2 and x, so these can be brought outside the bracket as shown: y = 2x(3x-2). In order to solve ...

Answered by Sam K. Maths tutor
2193 Views

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