Help Solve x^2+2x-4=0
What is the solution
To solve the quadratic 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 are given by:
x = (-b ± √(b^2 - 4ac)) / 2a
In our equation x^2 + 2x - 4 = 0, we have a = 1, b = 2, and c = -4. Plugging 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
Now, we can simplify the expression under the square root:
x = (-2 ± √(4 * 5)) / 2
x = (-2 ± 2√5) / 2
Finally, we can simplify the expression by canceling out a factor of 2:
x = -1 ± √5
So, the solutions to the equation x^2 + 2x - 4 = 0 are x = -1 + √5 and x = -1 - √5.