Makakuha ng mga solusyon sa iyong mga katanungan sa Imhr.ca, ang mabilis at tumpak na Q&A platform. Sumali sa aming Q&A platform upang makakuha ng eksaktong sagot mula sa mga eksperto sa iba't ibang larangan at mapalawak ang iyong kaalaman. Maranasan ang kaginhawaan ng paghahanap ng eksaktong sagot sa iyong mga tanong mula sa mga bihasang propesyonal sa aming platform.

SOLVE THE FF. QUADRATIC EQUATIONS AND GIVE THEIR FOLLOWING PROPERTIES.AND ANSWER THE QUESTIONS THAT FOLLOW.
1.x^2=16
2.t^2=81
3.r^2-100=0
4.x^2-144=0
5.2s^2=50
6.4x^2-225=0
7.3h^2-147=0
8.(x-4)^2=169
9.(k+7)^2=289
10.(2s-1)^2=225

questions:
1.how did you find the solutions of each equation?
2.What mathematics concepts or principles did you apply in finding the solutions?explain how you applied these.

Sagot :

1. x²-16=0 ; (x+4)(x-4)=0 ; x=4 or -4
2. t²-81=0 ; (t+9)(t-9)=0 ; t=9 or -9
3. r²-100=0 ; (r+10)(r-10)=0 ; r=10 or -10
4. x²-144=0 ; (x+12)(x-12)=0 ; x=12 or -12
5. 2s²-50=0 ; s²-25=0 ; (s+5)(s-5)=0 ; s=5 or -5
6. 4x²-225=0 ; (2x-15)(2x+15)=0 ; x=7.5 or -7.5
7. 3h²-147=0 ; h²-147/3=0 ; (h+√[147/3])(h-√[147/3])=0 ; (h+√49)(h-√49)=0  ;  
(h+7)(h-7)=0 ; h=7 or -7
8.(x-4)²-169=0 ; (x-4-13)(x-4+13)=0 ; (x-17)(x+9)=0 ; x=17 or -9
9. (k+7)²-289=0 ; (k+7-17)(k+7+17)=0 ; (k-10)(k+24)=0 ; k=10 or -24
10. (2s-1)²-225=0 ; (2s-1+15)(2s-1-15)=0 ; (2s+14)(2s-16)=0 ; s=-7 or 8

1. Through the difference of two squares. a²-b²=(a+b)(a-b).
2. Difference of two squares.
1. X²= 16 X²=√16 X²= 4 2. T²=81 T²=√81 T²= 9 3. r²-100=0 r-√100=0 r=±10 4. x²-144=0 x-√144=0 x=±12