Nov 11, 2023

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Nov 11, 2023

To factorize the quadratic equation 2x² + 11x + 5 = 0, we need to find two numbers that multiply to give 10 (the product of the coefficient of x² and the constant term) and add up to give 11 (the coefficient of x).

The numbers that satisfy these conditions are 1 and 10.

So, we can rewrite the equation as:

2x² + x + 10x + 5 = 0

Now, we can factor by grouping:

(x + 1)(2x + 5) = 0

Setting each factor equal to zero, we have:

x + 1 = 0 or 2x + 5 = 0

Solving for x in each equation:

x = -1 or x = -5/2

Therefore, the solutions to the equation 2x² + 11x + 5 = 0 are x = -1 and x = -5/2.

The numbers that satisfy these conditions are 1 and 10.

So, we can rewrite the equation as:

2x² + x + 10x + 5 = 0

Now, we can factor by grouping:

(x + 1)(2x + 5) = 0

Setting each factor equal to zero, we have:

x + 1 = 0 or 2x + 5 = 0

Solving for x in each equation:

x = -1 or x = -5/2

Therefore, the solutions to the equation 2x² + 11x + 5 = 0 are x = -1 and x = -5/2.

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