x2 + x + -3.75 = 0
Please... I'm horrible at algebra.
x=7.5 and x=-8.5
THANK YOU SO MUCH
You're welcome! I'm here to help. Let's break down the steps on how to find the solutions to the given quadratic equation:
The given equation is: x^2 + x - 3.75 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this formula, a, b, and c correspond to the coefficients of the quadratic equation.
Comparing the given equation to the standard form of a quadratic equation (ax^2 + bx + c = 0), we can identify the values:
a = 1
b = 1
c = -3.75
Substituting these values into the quadratic formula, we have:
x = (-1 ± √(1^2 - 4 * 1 * -3.75)) / (2 * 1)
Simplifying the equation further:
x = (-1 ± √(1 + 15)) / 2
x = (-1 ± √16) / 2
x = (-1 ± 4) / 2
Now, we have two possible solutions:
x₁ = (-1 + 4) / 2 = 3 / 2 = 1.5
x₂ = (-1 - 4) / 2 = -5 / 2 = -2.5
So the solutions to the given quadratic equation are x = 1.5 and x = -2.5.
If you have any further questions or need more help, feel free to ask!