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x^2 + 5x + 6 = 0
To solve this equation, we need to factor it. To do this, we need to find two numbers whose product is 6 and whose sum is 5. These numbers are 2 and 3. So we can rewrite the equation as:
x^2 + 2x + 3x + 6 = 0
Now we can factor by grouping:
(x^2 + 2x) + (3x + 6) = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
So x = -2 or x = -3.
Therefore, the solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3.
5 answers
I hope this helps! Let me know if you need further assistance.
x^2 + 5x + 6 = 0
To solve this equation, we need to factor it. To do this, we need to find two numbers whose product is 6 and whose sum is 5. These numbers are 2 and 3. So we can rewrite the equation as:
x^2 + 2x + 3x + 6 = 0
Now we can factor by grouping:
(x^2 + 2x) + (3x + 6) = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
So x = -2 or x = -3.
Therefore, the solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3.
To solve this equation, we need to factor it. To do this, we need to find two numbers whose product is 6 and whose sum is 5. These numbers are 2 and 3. So we can rewrite the equation as:
x^2 + 2x + 3x + 6 = 0
Now we can factor by grouping:
(x^2 + 2x) + (3x + 6) = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
So x = -2 or x = -3.
Therefore, the solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3.
It seems like you've already solved the quadratic equation correctly. Is there anything else you need help with or any other questions you have regarding this topic? Feel free to ask!
can you change it up
Of course! Here's a different approach to solve the quadratic equation x^2 + 5x + 6 = 0:
We need to find two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of x). The two numbers are 2 and 3.
Rewrite the middle term of the equation using these two numbers:
x^2 + 2x + 3x + 6 = 0
Now, factor by grouping:
(x^2 + 2x) + (3x + 6) = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
Set each factor to zero:
x + 2 = 0 or x + 3 = 0
x = -2 or x = -3
Therefore, the solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3. Let me know if you have any other questions or need further clarification!
We need to find two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of x). The two numbers are 2 and 3.
Rewrite the middle term of the equation using these two numbers:
x^2 + 2x + 3x + 6 = 0
Now, factor by grouping:
(x^2 + 2x) + (3x + 6) = 0
x(x + 2) + 3(x + 2) = 0
(x + 2)(x + 3) = 0
Set each factor to zero:
x + 2 = 0 or x + 3 = 0
x = -2 or x = -3
Therefore, the solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3. Let me know if you have any other questions or need further clarification!
2 answers