Solve for x: x^2 -2x-4=0
use the quadratic formula(look it up yourself)
Squar root of 218
Square root of 218
eh?
x = 1 ± √5
To solve the equation x^2 - 2x - 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form of ax^2 + bx + c = 0, the solutions for x can be found using the equation:
x = (-b ± √(b^2 - 4ac)) / 2a.
In our given equation, a = 1, b = -2, and c = -4. Plugging in these values into the quadratic formula, we get:
x = (-(-2) ± √((-2)^2 - 4(1)(-4))) / (2(1)).
Simplifying further:
x = (2 ± √(4 + 16)) / 2
x = (2 ± √20) / 2
x = (2 ± √(4 * 5)) / 2
x = (2 ± 2√5) / 2
x = 1 ± √5.
So, the solutions for x are x = 1 + √5 and x = 1 - √5.