How do you factor and solve 2x^2+2x-2=0?

1 Answer

this equation cannot be solved by factorization that means it takes a lot of effort and time and hence we have to use the quadratic formula.

Explanation:

given equation x^2+x-1=0
first we have to check the nature of the roots by using discriminant
D=b^2-4ac substituting the values of b=1,a=1,c=-1 we get
D=1+4=5>0 hence we have real and distinct roots
applying the quadratic formulacolor(red)[(-b+-sqrt(b^2-4ac))/(2a)]rArr[(-1+-sqrt(1+4))/2]rArr(-1+-sqrt5)/2
hence the roots are (-1+-sqrt5)/2