How do you solve 2x^2 – 35 = 15??

May 4, 2018

The answer is x= -5 or 5

Explanation:

The first step is to flip the -35 to the other side of the equation. This is done by adding a positive 35 to both sides of the equation. This gives us a new equation of: $2 {x}^{2} = 50$.

The next step is to get X alone, this is done by dividing both sides of the equation by 2, leaving us with a new equation of ${x}^{2} = 25$

Finally the last step is to take the square root of both sides of the equation. This is done to remove the squared from X, leaving us with just X. This gives us: $x = 5$

Do note though that because we took a square root the answer can be both positive 5 and negative 5. This is because $- 5 \cdot - 5 = 25$ and $5 \cdot 5 = 25$ Therefore the answer is X = -5 and 5