Answer:
x = -2 + √7 and x = -2 - √7
Step-by-step explanation:
To ease the solution of this problem, rewrite it in standard quadratic form:
x^2 + 4x - 3 = 0.
One way to solve this is by completing the square. We take 4 (the coefficient of x), halve that, obtaining 2, and then square the result, obtaining 4.
Add 4 to x^2 + 4x, and then subtract 4:
x^2 + 4x + 4 - 4 - 3 = 0, or (x + 2)^2 = 7
Taking the sqrt of both sides, we get x + 2 = plus or minus √7.
The solutions are thus x = -2 + √7 and x = -2 - √7.
