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a) Solve the following equation by completing the square: x^(2)+ 6x + 1= 0. b) Solve the following equation by factorisation: x^(2) - 4x - 5 = 0 c) Solve the following quadratic inequality: x^(2) - 4x - 5 < 0 (hint use your answer to part b)

a) x^(2) + 6x + 1 = 0 (x + 3)^(2) - 8 = 0 x = - 3 + sqrt(8) or x = - 3 - sqrt(8) b) (x-5)(x+1) = 0 x = -1 or 5 c) using answer to part b: (x-5)(x+1) &lt; 0 draw its graph then: -1&lt;x&lt;5
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Answered by George M. • Maths tutor
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A projectile is fired at an angle of 30 degrees from the horizontal, it reaches a maximum height of 12m above the ground before coming to rest 600m from its initial starting point at the same level. What is the initial speed of the projectile?

At first glance this question seems require solving in several steps, splitting horizontal and vertical components, taking a value for time from the motion under constant acceleration and then applying this ...
JS
Answered by Joseph S. • Physics tutor
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Comment la télévision peut avoir un aspect positif autant que négatif ?

Tout d'abord la télévision est un moyen technologique qui a permis de changer la vie familiale et l'ouverture sur le monde. Dans un premier temps nous pouvons affirmer que la télévision a eu un aspect positi...
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Answered by Clemence F. • French tutor
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integrate [xe^(-x)] with respect to x.

integrating a product of functions of x - integration by parts. integral of uv' = uv - integral of u'v. choice of u from LIATE - logs, inverse trig, algebra, trig, exponentials - choose u=x. u=x, v'=e^(-x). ...
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Answered by Zachary P. • Maths tutor
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Explain the difference between Type 1 and Type 2 reasoning, and whether they cooperate or contradict each other.

Type 1 reasoning is automatic, reflexive, emotional, habitual, low effort and low capacity. It is also quicker and sometimes called the &quot;old mind&quot;. Type 2 reasoning is effortful, reflective, cognit...
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Answered by Merle V. • Psychology tutor
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