x^2+3x+7=5

Question

I'm not sure if I have the right answer so I hope one of you can answer this and see for me. I came up with x^2+3x+2=0

Answer 1

x² + 3x + 7 = 5

x² + 3x + 7 - 5 = 0

x² + 3x + 2 = 0

factor:

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

x = -2 or x = -1

 

 

Answer 2

Remember that in order to factor a quadratic equation or use the quadratic formula, the equation MUST equal 0.

Therefore begin by subtracting 5 from both sides of the equation x² + 3x + 7 - 5 = 5 - 5 → x² + 3x + 2 = 0.

X² factors into (x)(x) and since all the terms are positive, so must the factors (x +    )(x +    ).

Now make a list of all the factors of the last term. In this case 1, 2. Pick the pair whose sum is the coefficient of the middle term. Insert them into the parenteses. (x + 1)(x + 2) = 0.

The Zero Product Property states that if the productor of any factors is zero, then one of those factors MUST be equal to zero. Set up two equations: x + 1 = 0   and x + 2 = 0.

Solve each for x = -1 or x = -2.

Answer 3

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