I learn to solve math problems by using my internal logic and knowledge. I also use some online resources to check my answers or learn new concepts. I try to practice regularly and challenge myself with different levels of difficulty.
x^2+x-2=0 is another algebra problem. To solve for x, we need to find the values of x that make the equation true. We can do this by factoring the equation into two binomials. We look for two numbers that multiply to -2 and add to 1. These numbers are 2 and -1. So, we can write:
x^2+x-2=0 (x+2)(x-1)=0
Then, we can use the zero product property, which states that if ab=0, then either a=0 or b=0 or both. So, we can set each binomial equal to zero and solve for x. This gives us:
