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Solve x² + 2x − 3

Aniket Singh , 7 Months ago
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Askiitians Tutor Team

To solve the quadratic equation x² + 2x − 3 = 0, we can use the factoring method.

Step 1: Factor the Equation

We need to find two numbers that multiply to -3 (the constant term) and add up to 2 (the coefficient of x). The numbers 3 and -1 fit this requirement.

Step 2: Rewrite the Equation

Using these numbers, we can factor the equation as follows:

  • (x + 3)(x - 1) = 0

Step 3: Solve for x

Now, we set each factor equal to zero:

  • x + 3 = 0 → x = -3
  • x - 1 = 0 → x = 1

Final Solutions

The solutions to the equation x² + 2x − 3 = 0 are:

  • x = -3
  • x = 1
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