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.

2

Answers

2015-06-11T13:53:31+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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 1 1
2015-06-12T09:28:04+08:00
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
0