Beljaminidn
Answered

Tuklasin ang mundo ng kaalaman at mga sagot mula sa komunidad sa IDNStudy.com. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

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 


 

Salamat sa iyong pakikilahok. Patuloy na magbahagi ng iyong mga ideya at kasagutan. Sama-sama tayong magpapaunlad ng isang komunidad ng karunungan at pagkatuto. Salamat sa pagpili sa IDNStudy.com. Umaasa kami na makita ka ulit para sa mas maraming solusyon.