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By completing the square, find the coordinates of the turning point of the curve with equation y = x^2 + 10x + 2

The equation is in the form ax^2 + bx + c, where a = 1, b = 10 and c = 2To complete the square, we write (x + b/2a)^2 + c - (b/2a)^2So here we would have (x + 5)^2 + 2 - 25Therefore completed square form ...

NM
Answered by Niamh M. Maths tutor
7087 Views

Solve x^2 - 3x - 10 = 0 for x by a) factorising and b) the quadratic equation. Then draw a graph of the function, marking when it touches each of the axes.

a) We factorise to find 2 numbers a and b in (x + a)(x + b) such that a + b = -3 and whose product is -10 (ab = -10). (x + 2)(x - 5) = 0 -> x = 5 or -2b) This is a direct application of the quadratic f...

JS
Answered by Joseph S. Maths tutor
3483 Views

Does the UK suffer from a participation crisis?

Define what a participation crisis is and why it is important;A lack in public engagement in politics, this can include a lack of voting in general elections, membership in pressure groups decreasing, or ...

11037 Views

How do I make my essays more sophisticated?

As you are limited by the word count, concision is very important and as such, every sentence needs to be thought out and crafted, using grammar and vocabulary correctly.
First, you need to consider...

Answered by French tutor
1504 Views

What is meant by terms 'saturated' and 'unsaturated' when applied to alkanes and alkenes? Describe a chemical test to distinguish between the liquids hexane and hexene.

Saturated – contains single bonds only.Unsaturated – contains one or more carbon-carbon double bonds.Shake each with bromine water. Hexene will decolorise bromine water, which will go from orange to colou...

KS
Answered by Kamile S. Chemistry tutor
6414 Views

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