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Mathematics 21 Online
OpenStudy (rootbeer003):

How would i start this?

OpenStudy (rootbeer003):

OpenStudy (jadzia):

Well you can either use the quadratic formula or you can solve it by factoring. If you can't find the factors of the quadratic equation, it means it doesn't have any x-intercepts or real solutions. Do you know how to apply any of the methods I mentioned?

OpenStudy (rootbeer003):

not so much

OpenStudy (jadzia):

Let's start with the radical part of the quadratic formula, to check whether the equation will have a solution or not. We call this as the discriminant: \(\sf d=b^2-4ac\) where \(\sf ax^2+bx+c=0\) if \(\sf d\) = 0 , one real root if \(\sf d\) < 0 , no real root if \(\sf d\) > 0 , two real roots So for your first equation, a= 1 b= 0 and c = 4 if you plug it into the discriminant formula, what will it give you?

OpenStudy (rootbeer003):

1^2 + 0x + 4 = 0

OpenStudy (jadzia):

\(\sf x^2 + 4 = 0\) this is your first equation... we need to find out whether it will have a solution so let's plug the values of a, b and c in the discriminant formula: \(\sf d= b^2-4ac= 0^2- 4(1)(4)= -16 \) so d is -16 , now is -16 less than, greater than or is it equal to zero?

OpenStudy (rootbeer003):

sry its late igtg

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