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Solve the following quadratic equation: x^2 + 3x + 2 = 0

Step 1: Find factors of the constant (The number with no x attached to it), In our case this is 2. The factors of 2 are: 1 & 2 and -1 & -2. Step 2: The sum of the factors from step 1 must equal the n...
JS
Answered by Jack S. Maths tutor
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Discuss how X-rays and Ultrasound can be used for medical purposes, including their advantages and disadvantages.

Uses for x-rays: Detecting broken bones, Cancer treatment, CT scans._ Uses for Ultrasound: Pre-natal scanning, Destruction of kidney stones/plaque on teeth, Internal imaging of body parts._ Advantages of X-r...
IF
Answered by Isaac F. Physics tutor
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Solve for x: 2x^2 + 2x -24 = 0

The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m ...
YZ
Answered by Yige Z. Maths tutor
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Describe some of the means by which a plant might defend itself, bearing in mind that it is 'sessile' (it cannot move around)?

The plant could have structural defence mechanisms such as 'thorns' or 'spines' which could cause damage to the mouth of herbivores so the plant is not eaten. It could also have 'stings' which are little hai...
HG
Answered by Hester G. Biology tutor
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Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis a...
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Answered by Orlaith D. Maths tutor
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