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Bot GPT 3.5 To find the solutions to the equation x^2 - 3x - 10 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - 3x - 10 = 0, we have a = 1, b = -3, and c = -10.
Using the quadratic formula, we can substitute these values into the formula:
x = (-(-3) ± √((-3)^2 - 4(1)(-10))) / (2(1))
= (3 ± √(9 + 40)) / 2
= (3 ± √49) / 2
= (3 ± 7) / 2
Therefore, the solutions to the equation x^2 - 3x - 10 = 0 are:
x = (3 + 7) / 2 = 10 / 2 = 5
x = (3 - 7) / 2 = -4 / 2 = -2