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Solve all these equations and systems. 2x2+x+6=0 NAME: NAME: π²= ππ π βπ± ππ± = ππ + ππ² NAME: X +4x-1=0 NAME: ππ± β ππ² = π ππ² β ππ± = ππ± β π β ππ± ππ± β π² = π ππ±+ππ² π x2-12x+35=0 = ππ NAME: 2 5x -5x=30 NAME: ππ± β ππ² = π ππ± + ππ² = ππ NAME: π π π± + π²=π π π π π π π± + ππ² = βπ π NAME: NAME: 2 NAME: (3x+4)2=0 ππ± β ππ² = π ππ± β ππ² = π NAME: x2 + 2x β 24 = 0 NAME: 2.-Here you have the names of the places in the pictures. Match the solution of the equations with the correct names a) b) c) d) e) f) g) h) i) j) k) l) STRATHCLYDE: The discriminant is negative CENTRAL: The solutions are irrational numbers TAYSIDE: It has a negative solution and a positive solution DUMFRIES AND GALLOWAY: A solution is two time the other solution GRAMPIAN: The solutions are consecutive odd numbers SCOTTISH BORDERS: It has only one solution ORKNEY: A solution is one-third the other solution HIGHLAND: (Consistent independent system) The solutions are consecutive numbers EDINBURGH AND LOTHIAN: (Consistent and dependent system) there are infinitely many solutions and the system is called dependent. WESTERN ISLANDS: Inconsistent system. There are no solutions to the system FIFE: (Consistent independent system) It has two solutions. One is an odd number and the other is a rational number SHETLAND: The solutions are two consecutive negative even numbers 3.- You must use Wiris to calculate the solutions. And copy the solutions on to a word document. You must calculate the solutions. (You can use Wiris) 4.- Solve these problems 1) There is a campground near the Highland lake. In order to know its altitude you need to solve this problem: βThe altitude of the campground squared minus eight thousand times the altitude is equal to 516*104β Solution: The altitude____________________________ meters 2) I need to know the number of railways stations that there is in Galloway. I have this information βTwo times the number of railways squared plus four thirds the number is equal to 322/3β How many railway stations are there in Galloway? Solution: There are _______________________________ railway stations 3) One third of the population of Edinburgh minus two thousand and forty is equal to 16*104. What is the population of Edinburgh? Solution: The______________________________________ 4) The Lochnagar is in Grampian and Ben Nevis is in Central Scotland. I want you to calculate the height of both mountains. Please, read carefully these instructions βOne half of the height of the Lochnagar plus the double of the height of the Ben Nevis is 3263mβ. βTen percent of the height of Ben Nevis plus fifty percent of the height of Lochnagar is equal to 711.3mβ How high are Lochnagar and Ben Nevis? Solution:___________________________________________________________________________ 5) The Kincardine Bridge connects Fife with Edinburgh. The length of the tunnel squared minus four hundred times the length is 3444*10 2 meters. How long is the tunnel? Solution:__________________________________________________________________ 6) The KnoydartSeabridge is a boat that connects the Highland with Western Isles. The boat can carry passengers, kayaks, canoes and bikes. The number of passengers squares minus three-fourths of the passengers is 135. How many passengers can the KnoydartSeabridge carry? Solution:____________________________________________________________________