Algebra tasks Mathematics & Economics Math Problem (Math Problem Sample)

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Content:

Algebra Tasks
Name of Student
Institution Affiliation
Algebra Tasks
Question 1
x2 + x – 12 = 0
Solution
We will use quadratic formula to solve the problem
For any quadratic equation of the form ax2 + bx + c = 0, the solutions are
x = QUOTE
x2 + x -12 = 0
Where a = 1, b = 1 and c = -12
x = [-1 QUOTE QUOTE ]/ 2
x = [ -1 QUOTE ]/ 2
x = (-1 QUOTE 7) / 2
Therefore x = 3, x = -4
Question 2
22x-4 = 64
Solution
The question is solved by finding logs on both sides (natural log)
Ln (22x-4) = Ln 64
But Ln x2 = 2 Ln x
Therefore,
(2x – 4) . Ln (2) = Ln 64
2x – 4 = {Ln (64)} / {Ln (2)} = 6
2x – 4 = 6
2x = 10
X = 5

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