Beljaminidn
Answered

Makakuha ng mga maaasahang sagot sa iyong mga tanong sa IDNStudy.com. Ang aming komunidad ay nagbibigay ng eksaktong sagot upang matulungan kang maunawaan at malutas ang anumang problema.

The topic is completing the square
Given.
2xsquared+9x+10=0

Sagot :

Jalynidn
2x^2+9x+10=0

Ans:
 Guide: Product of Binomial⇒ (a+b)^2 = a^2+2ab+b^2 

2x^2+9x+10=0  ⇒It is easy to complete the square of an equation if the                                     numerical coefficient of the 1st term is 1. So divide both                                   sides by 2.
x^2+(9/2)x+5=0 ⇒ transpose 5 to the right side so it will become -5.
x^2+(9/2)x=-5 ⇒from the left side of this equation we can use the guide above.                         So our value of a=1 set aside the variable, when we square the                         1 the ans. is always 1. Let's come to (2ab): Our value of 2ab=                           (9/2) since we already have the value of a as 1 divide (9/2) by                           2 to eliminate 2 in 2ab and we can find the value of b.
                        Our b=(9/4)
x^2+(9/2)x+(9/4)^2 = -5+(9/4)^2 ⇒we add both sides of the equation by b^2.
                                                b=(9/4) 
x^2+(9/2)x+(9/4)^2 = -5+(81/16)
[x+(9/4)]^2 = (1/16) ⇒use the guide: the left side. And square both sides of the                                 equation to eliminate the squared of the left side.
x+(9/4)=√(1/16)
x+(9/4)=+ and - of (1/4) ⇒the square root of 1/16 is the positive and negative                                          1/4
x=+ and - (1/4)-(9/4)
or 
x= +(1/4)-(9/4)=-2
x= -(1/4)-(9/4)=-5/2

To check: Use the Quadratic Formula 


 

Ang iyong aktibong pakikilahok ay mahalaga sa amin. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong lumikha ng isang masiglang komunidad ng pagkatuto. Bawat tanong ay may sagot sa IDNStudy.com. Salamat sa pagpili sa amin at sa muling pagkikita.