Mathematics: Solve a^2 + 2a − 3 = 0

Solve a^2 + 2a − 3 = 0 - id223014444134, thechocolatblanc

ltawiah8393

26.09.2021

Solving Quadratic Equations by Completing the Square

a = 1 and a = -3

Step-by-step explanation:

Solving by Completing the Square:

$a^2 +2a -3 = 0 \\ a^2 +2a -3 +3 = 0 +3 \\ a^2 +2a = 3 \\ a^2 +2a +1 = 3 +1 \\ (a +1)^2 = 4 \\ \sqrt{(a +1)^2} = \pm \sqrt{4} \\ a +1 = \pm 2$

Solving for from the positive root:

$a +1 = 2 \\ a +1 -1 = 2 -1 \\ a = 1$

Solving for from the negative root:

$a +1 = -2 \\ a +1 -1 = -2 -1 \\ a = -3$

The solutions are a = 1 and a = -3

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srsnider2017

15.04.2023

Step-by-step explanation:

6*3+6*t+2t+5+2

18+6t+2t+5+2

18+6t+2t+7

18+7+6t+2t

25+8t

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