Answer:
The equation x^2 + 3x - 7 is a quadratic equation. To solve it, we can use the quadratic formula or factorization method.
1. Quadratic Formula:
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our equation, a = 1, b = 3, and c = -7. Substituting these values into the quadratic formula:
x = (-3 ± √(3^2 - 4(1)(-7))) / (2(1))
Simplifying the expression within the square root:
x = (-3 ± √(9 + 28)) / 2
x = (-3 ± √37) / 2
This gives us two possible solutions for x:
x = (-3 + √37) / 2
x = (-3 - √37) / 2
2. Factorization:
The equation can also be solved by factoring it, if possible. However, in this case, the equation cannot be easily factored.
Therefore, the solutions to the equation x^2 + 3x - 7 are:
x = (-3 + √37) / 2
x = (-3 - √37) / 2
These solutions represent the values of x that satisfy the given equation.
Hope this helps :]