solve by using the quadratic formula:
x2 plus x minus 2 equal 0
I know the formula is a=1 b=1 c=2
I'm having trouble solving...please help.
x^2 + x - 2 = 0
a = 1, b = 1, c = -2 are the variables.
The formula is "the opposite of b plus or minus the square root of b squared minus 4ac all over 2a."
If you click "Mathematics" on the right, a tutorial on the quadratic formula is available. Go to "Algebra" and then "Quadratic Formula."
To solve the quadratic equation x^2 + x - 2 = 0 using the quadratic formula, you'll need to substitute the values of a, b, and c into the formula and perform the necessary calculations.
The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / (2a)
Given that a = 1, b = 1, and c = -2, let's substitute these values into the formula:
x = (-(1) ± √((1)^2 - 4(1)(-2))) / (2(1))
Now let's simplify the equation:
x = (-1 ± √(1 + 8)) / 2
x = (-1 ± √9) / 2
x = (-1 ± 3) / 2
This gives us two possible solutions:
1) x = (-1 + 3) / 2 = 2 / 2 = 1
2) x = (-1 - 3) / 2 = -4 / 2 = -2
So, the solutions to the quadratic equation x^2 + x - 2 = 0 using the quadratic formula are x = 1 and x = -2.