IDNStudy.com, ang platform na nag-uugnay ng mga eksperto at kuryusidad. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng maaasahang sagot sa lahat ng iyong mga tanong.

answer using completing the square method and give the solution and soultion set:
x^2-7x+12=0


Sagot :

We have to used the factoring of General Trinomial;

[tex] x^{2} -7x+12=( x-4)( x-3) [/tex]

Now we have to check it by using FOIL Method;

[tex](x)(x)= x^{2} \\ \\ (x)(-3)=-3x \\ \\ (-4)(x)=-4 \\ \\ (-4)(-3)=12[/tex]

Combine like terms;
[tex] x^{2} -3x-4x+12= x^{2} -7x+12 \\ \\ x^{2} -7x+12=(x-4)(x-3)[/tex]
[tex] x^{2} - 7x + 12 = 0 [/tex]
[tex] x^{2} - 7x = -12 [/tex]
[tex] x^{2} - 7x + \frac{49}{4} = -12 + \frac{49}{4} [/tex]
[tex] (x - \frac{7}{2})^{2} = \frac{1}{4} [/tex]
[tex] x - \frac{7}{2} =± \frac{1}{2} [/tex]
[tex] x = \frac{1}{2} ± \frac{7}{2} [/tex]
[tex] x = \frac{1}{2} + \frac{7}{2} , \frac{1}{2} - \frac{7}{2} [/tex]
[tex] x = \frac{8}{2} , -\frac{6}{2} [/tex]
x = 4 , 3

*Don't mind the letter 'A'*
Hope it helps!