^ <-- this is the expontent image, it in actuality symnolizes that some thing is to the potential of what ever quantity ^2 = squared or to the potential of two. They used the Foil technique (First, Outter, inner, final) x*x= x^2 x*a million=x ( you do no longer want the a million that's understood immediately) 5*x= 5x 5*a million=5 Now you combine like words x^2+x+5x+5= x^2 + 6x+5 now you in simple terms set it equivalent to 0 that's a similar. you in actuality ruin down the 1st formulation. you do no longer want the =0 section you could positioned that throughout on the tip, that is going to nevertheless be a similar. remember that x cases x is often x squared (x ^2) x^2 + 6x + 5 (x+_) (x+_) what 2 numbers more desirable mutually supply u (advantageous) 5 and added mutually supply you 6? the only option is 5 and a million. Now for the reason that they're the two advantageous that is not correct the place they circulate. This difficulty you have is basically factoring trinomials.
Answers & Comments
Verified answer
Use the formula:
x = -b +/- [sqrt](b^2 - 4ac)/2a
x = 1 +/- [sqrt](-1^2 - 4*1*-5)/2
x = 1 +/- [sqrt](1 + 20)/2
x = 1 +/- (sqrt 21)/2
So x = 1+(sqrt 21)/2 = 3.29
or x = 1 - (sqrt 21)/2 = -1.29
Hope this helps :)
^ <-- this is the expontent image, it in actuality symnolizes that some thing is to the potential of what ever quantity ^2 = squared or to the potential of two. They used the Foil technique (First, Outter, inner, final) x*x= x^2 x*a million=x ( you do no longer want the a million that's understood immediately) 5*x= 5x 5*a million=5 Now you combine like words x^2+x+5x+5= x^2 + 6x+5 now you in simple terms set it equivalent to 0 that's a similar. you in actuality ruin down the 1st formulation. you do no longer want the =0 section you could positioned that throughout on the tip, that is going to nevertheless be a similar. remember that x cases x is often x squared (x ^2) x^2 + 6x + 5 (x+_) (x+_) what 2 numbers more desirable mutually supply u (advantageous) 5 and added mutually supply you 6? the only option is 5 and a million. Now for the reason that they're the two advantageous that is not correct the place they circulate. This difficulty you have is basically factoring trinomials.
x^2 - x - 5 = 0
(x + 2)(x - 3) = 0
x = -2
x = 3
x = 1/2 (1 - Sqrt[21]) || x = 1/2 (1 + Sqrt[21])
Use the quadratic formula!
Your answers should be around 2.79 and -1.79 respectively