Solve the equation using the Quadratic Formula
5xsquared+13x-6=0
i think it is -2/5,3
5x^2 + 13x -6
(5x -2)(x +3)=0
You are correct.
From Bob Pursley's work you can see that his solution gives +2/5 and not
-2/5. The +2/5 is correct.
drbob is right on that.
the solutions are 2/5, and -3
check those.
To solve the equation 5x^2 + 13x - 6 = 0 using the Quadratic Formula, we can follow these steps:
Step 1: Identify the coefficients a, b, and c in the equation ax^2 + bx + c = 0. In our case, a = 5, b = 13, and c = -6.
Step 2: Use the Quadratic Formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Step 3: Plug in the values of a, b, and c into the Quadratic Formula:
x = (-13 ± √(13^2 - 4(5)(-6))) / (2(5))
Step 4: Simplify the equation:
x = (-13 ± √(169 + 120)) / 10
x = (-13 ± √(289)) / 10
x = (-13 ± 17) / 10
Step 5: Solve for the two possible values of x:
x1 = (-13 + 17) / 10
x1 = 4 / 10
x1 = 2/5
x2 = (-13 - 17) / 10
x2 = -30 / 10
x2 = -3
So the solutions to the equation 5x^2 + 13x - 6 = 0 are x = 2/5 and x = -3.