Solve using the quadratic formula: x^2 - 3x - 5 = 0
x= (3+-sqrt(9+20))/2 you do the math.
To solve the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we need to identify the values of a, b, and c in the general quadratic equation form ax^2 + bx + c = 0.
In this equation, a = 1, b = -3, and c = -5.
The quadratic formula is given by x = (-b ± √(b^2 - 4ac)) / 2a.
Let's substitute the values into the formula:
x = (3 ± √((-3)^2 - 4*1*(-5))) / (2*1)
Simplifying further:
x = (3 ± √(9 + 20)) / 2
= (3 ± √29) / 2
So the solutions to the given quadratic equation are:
x = (3 + √29) / 2
x = (3 - √29) / 2
Therefore, the solutions to the equation x^2 - 3x - 5 = 0 are (3 + √29) / 2 and (3 - √29) / 2.