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

Instructions:

algebra tasks

source..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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