74.9k views
2 votes
Solve the equation x^2 + 3x - 7

User Rwyland
by
8.4k points

1 Answer

6 votes

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 :]

User Justian Meyer
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories